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23121311113032 = 233111727119010359
BaseRepresentation
bin1010100000111010110011…
…00010010001111101001000
310000212101010220222211120020
411100131121202101331020
511012304421121104112
6121101441135500440
74604313433515246
oct520353142217510
9100771126884506
1023121311113032
117404769396520
122715094387720
13cb943a827312
1459d112671796
152a168971848c
hex150759891f48

23121311113032 has 128 divisors (see below), whose sum is σ = 67013800243200. Its totient is φ = 6569979724800.

The previous prime is 23121311113003. The next prime is 23121311113051. The reversal of 23121311113032 is 23031111312132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23121311112993 and 23121311113011.

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, 8288932 + ... + 10721427.

It is an arithmetic number, because the mean of its divisors is an integer number (523545314400).

Almost surely, 223121311113032 is an apocalyptic number.

23121311113032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23121311113032 is an abundant number, since it is smaller than the sum of its proper divisors (43892489130168).

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

23121311113032 is a wasteful number, since it uses less digits than its factorization.

23121311113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19010667 (or 19010663 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 23121311113032 its reverse (23031111312132), we get a palindrome (46152422425164).

The spelling of 23121311113032 in words is "twenty-three trillion, one hundred twenty-one billion, three hundred eleven million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 271 374 408 542 561 748 813 1084 1122 1496 1626 2168 2244 2981 3252 4488 4607 5962 6504 8943 9214 11924 13821 17886 18428 23848 27642 35772 36856 50677 55284 71544 101354 110568 152031 202708 304062 405416 608124 1216248 19010359 38020718 57031077 76041436 114062154 152082872 209113949 228124308 323176103 418227898 456248616 627341847 646352206 836455796 969528309 1254683694 1292704412 1672911592 1939056618 2509367388 2585408824 3554937133 3878113236 5018734776 5151807289 7109874266 7756226472 10303614578 10664811399 14219748532 15455421867 20607229156 21329622798 28439497064 30910843734 41214458312 42659245596 56669880179 61821687468 85318491192 87580723913 113339760358 123643374936 170009640537 175161447826 226679520716 262742171739 340019281074 350322895652 453359041432 525484343478 680038562148 700645791304 963387963043 1050968686956 1360077124296 1926775926086 2101937373912 2890163889129 3853551852172 5780327778258 7707103704344 11560655556516 23121311113032