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23131414210032 = 2433284331883197
BaseRepresentation
bin1010100001001101100111…
…01110100010010111110000
310000220100020000202100012000
411100212303232202113300
511012441114014210112
6121110231444134000
74605122002441452
oct520466356422760
9100810200670160
1023131414210032
117408a83317867
122717033997300
13cba38a9a0b1b
1459d7d03902d2
152a1a7b68d7dc
hex1509b3ba25f0

23131414210032 has 80 divisors (see below), whose sum is σ = 66398096395680. Its totient is φ = 7710196128768.

The previous prime is 23131414210013. The next prime is 23131414210049. The reversal of 23131414210032 is 23001241413132.

23131414210032 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 1 + 414 + 210 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23131414209978 and 23131414210005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11341458 + ... + 13224654.

It is an arithmetic number, because the mean of its divisors is an integer number (829976204946).

Almost surely, 223131414210032 is an apocalyptic number.

It is an amenable number.

23131414210032 is an abundant number, since it is smaller than the sum of its proper divisors (43266682185648).

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

23131414210032 is a wasteful number, since it uses less digits than its factorization.

23131414210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911647 (or 1911635 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23131414210032 its reverse (23001241413132), we get a palindrome (46132655623164).

The spelling of 23131414210032 in words is "twenty-three trillion, one hundred thirty-one billion, four hundred fourteen million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 28433 56866 85299 113732 170598 227464 255897 341196 454928 511794 682392 767691 1023588 1364784 1535382 1883197 2047176 3070764 3766394 4094352 5649591 6141528 7532788 11299182 12283056 15065576 16948773 22598364 30131152 33897546 45196728 50846319 67795092 90393456 101692638 135590184 203385276 271180368 406770552 813541104 53544940301 107089880602 160634820903 214179761204 321269641806 428359522408 481904462709 642539283612 856719044816 963808925418 1285078567224 1445713388127 1927617850836 2570157134448 2891426776254 3855235701672 5782853552508 7710471403344 11565707105016 23131414210032