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11212202320 = 24511149233367
BaseRepresentation
bin10100111000100110…
…01010000101010000
31001221101201220002121
422130103022011100
5140430310433240
65052324224024
7544564101334
oct123423120520
931841656077
1011212202320
114833aa5610
12220ab3b014
131098b94a57
1478514b7c4
1545950904a
hex29c4ca150

11212202320 has 160 divisors (see below), whose sum is σ = 28830297600. Its totient is φ = 4021432320.

The previous prime is 11212202317. The next prime is 11212202329. The reversal of 11212202320 is 2320221211.

It is a happy number.

It is a super-2 number, since 2×112122023202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11212202294 and 11212202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212202329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30550777 + ... + 30551143.

It is an arithmetic number, because the mean of its divisors is an integer number (180189360).

Almost surely, 211212202320 is an apocalyptic number.

11212202320 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 11212202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415148800).

11212202320 is an abundant number, since it is smaller than the sum of its proper divisors (17618095280).

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

11212202320 is a wasteful number, since it uses less digits than its factorization.

11212202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11212202320 its reverse (2320221211), we get a palindrome (13532423531).

The spelling of 11212202320 in words is "eleven billion, two hundred twelve million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 233 298 367 440 466 596 734 745 880 932 1165 1192 1468 1490 1639 1835 1864 2330 2384 2563 2936 2980 3278 3670 3728 4037 4660 5126 5872 5960 6556 7340 8074 8195 9320 10252 11920 12815 13112 14680 16148 16390 18640 20185 20504 25630 26224 29360 32296 32780 34717 40370 41008 51260 54683 64592 65560 69434 80740 85511 102520 109366 131120 138868 161480 171022 173585 205040 218732 273415 277736 322960 342044 347170 381887 427555 437464 546830 555472 601513 684088 694340 763774 855110 874928 940621 1093660 1203026 1368176 1388680 1527548 1710220 1881242 1909435 2187320 2406052 2777360 3007565 3055096 3420440 3762484 3818870 4374640 4703105 4812104 6015130 6110192 6840880 7524968 7637740 9406210 9624208 12030260 12741139 15049936 15275480 18812420 24060520 25482278 30550960 37624840 48121040 50964556 63705695 75249680 101929112 127411390 140152529 203858224 254822780 280305058 509645560 560610116 700762645 1019291120 1121220232 1401525290 2242440464 2803050580 5606101160 11212202320