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11022223202320 = 24511509199312347
BaseRepresentation
bin1010000001100100111110…
…1100101101100000010000
31110000201021200112022210211
42200121033230231200100
52421042003114433240
635235312303533504
72215220652243541
oct240311754554020
943021250468724
1011022223202320
11356a553715820
1212a02202ba294
1361c511595205
142a169ac184c8
15141aa76c6bea
hexa064fb2d810

11022223202320 has 160 divisors (see below), whose sum is σ = 28027614867840. Its totient is φ = 3997875793920.

The previous prime is 11022223202317. The next prime is 11022223202323. The reversal of 11022223202320 is 2320232222011.

It is an interprime number because it is at equal distance from previous prime (11022223202317) and next prime (11022223202323).

It is a super-2 number, since 2×110222232023202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11022223202291 and 11022223202300.

It is not an unprimeable number, because it can be changed into a prime (11022223202323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892698387 + ... + 892710733.

It is an arithmetic number, because the mean of its divisors is an integer number (175172592924).

Almost surely, 211022223202320 is an apocalyptic number.

11022223202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022223202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013807433920).

11022223202320 is an abundant number, since it is smaller than the sum of its proper divisors (17005391665520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11022223202320 is a wasteful number, since it uses less digits than its factorization.

11022223202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14867 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 11022223202320 its reverse (2320232222011), we get a palindrome (13342455424331).

The spelling of 11022223202320 in words is "eleven trillion, twenty-two billion, two hundred twenty-three million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 509 880 1018 1993 2036 2545 3986 4072 5090 5599 7972 8144 9965 10180 11198 12347 15944 19930 20360 21923 22396 24694 27995 31888 39860 40720 43846 44792 49388 55990 61735 79720 87692 89584 98776 109615 111980 123470 135817 159440 175384 197552 219230 223960 246940 271634 350768 438460 447920 493880 543268 679085 876920 987760 1014437 1086536 1358170 1753840 2028874 2173072 2716340 4057748 5072185 5432680 6284623 8115496 10144370 10865360 11158807 12569246 16230992 20288740 22317614 24607571 25138492 31423115 40577480 44635228 49215142 50276984 55794035 62846230 69130853 81154960 89270456 98430284 100553968 111588070 123037855 125692460 138261706 178540912 196860568 223176140 246075710 251384920 270683281 276523412 345654265 393721136 446352280 492151420 502769840 541366562 553046824 691308530 892704560 984302840 1082733124 1106093648 1353416405 1382617060 1968605680 2165466248 2706832810 2765234120 4330932496 5413665620 5530468240 10827331240 12525253639 21654662480 25050507278 50101014556 62626268195 100202029112 125252536390 137777790029 200404058224 250505072780 275555580058 501010145560 551111160116 688888950145 1002020291120 1102222320232 1377777900290 2204444640464 2755555800580 5511111601160 11022223202320