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11022222110020 = 22511163733419329
BaseRepresentation
bin1010000001100100111110…
…1000100010110101000100
31110000201021121110211110021
42200121033220202311010
52421042002330010040
635235312224304524
72215220640044152
oct240311750426504
943021247424407
1011022222110020
11356a55303a0a0
1212a021ba72144
1361c5112a1c94
142a169aa123d2
15141aa755d24a
hexa064fa22d44

11022222110020 has 96 divisors (see below), whose sum is σ = 25440543112320. Its totient is φ = 3978047324160.

The previous prime is 11022222109993. The next prime is 11022222110057. The reversal of 11022222110020 is 2001122222011.

It is a happy number.

It is a super-2 number, since 2×110222221100202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022222109976 and 11022222110003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26075716 + ... + 26495044.

It is an arithmetic number, because the mean of its divisors is an integer number (265005657420).

Almost surely, 211022222110020 is an apocalyptic number.

11022222110020 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 11022222110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720271556160).

11022222110020 is an abundant number, since it is smaller than the sum of its proper divisors (14418321002300).

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

11022222110020 is a wasteful number, since it uses less digits than its factorization.

11022222110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420245 (or 420243 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11022222110020 its reverse (2001122222011), we get a palindrome (13023344332031).

The spelling of 11022222110020 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 326 652 733 815 1466 1630 1793 2932 3260 3586 3665 7172 7330 8063 8965 14660 16126 17930 32252 35860 40315 80630 119479 161260 238958 419329 477916 597395 838658 1194790 1314269 1677316 2096645 2389580 2628538 4193290 4612619 5257076 6571345 8386580 9225238 13142690 18450476 23063095 26285380 46126190 68350627 92252380 136701254 273402508 307368157 341753135 614736314 683506270 751856897 1229472628 1367012540 1503713794 1536840785 3007427588 3073681570 3381049727 3759284485 6147363140 6762099454 7518568970 13524198908 15037137940 16905248635 33810497270 50101009591 67620994540 100202019182 200404038364 250505047955 501010095910 551111105501 1002020191820 1102222211002 2204444422004 2755555527505 5511111055010 11022222110020