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313121012312424 = 233612069103373839
BaseRepresentation
bin100011100110010000010101…
…0101101011110100101101000
31112001200002001201110112012210
41013030200222231132211220
5312020133313122444144
63025541450210405120
7122645150404105161
oct10714405255364550
91461602051415183
10313121012312424
119085196a447678
122b150b495907a0
1310594252c05a14
1457471d03d8768
15262eee1cb0ab9
hex11cc82ab5e968

313121012312424 has 64 divisors (see below), whose sum is σ = 796019917536000. Its totient is φ = 102613006552320.

The previous prime is 313121012312413. The next prime is 313121012312429. The reversal of 313121012312424 is 424213210121313.

It is a junction number, because it is equal to n+sod(n) for n = 313121012312391 and 313121012312400.

It is not an unprimeable number, because it can be changed into a prime (313121012312429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48657904 + ... + 54715935.

It is an arithmetic number, because the mean of its divisors is an integer number (12437811211500).

Almost surely, 2313121012312424 is an apocalyptic number.

It is an amenable number.

313121012312424 is an abundant number, since it is smaller than the sum of its proper divisors (482898905223576).

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

313121012312424 is a wasteful number, since it uses less digits than its factorization.

313121012312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103375978 (or 103375974 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 313121012312424 its reverse (424213210121313), we get a palindrome (737334222433737).

The spelling of 313121012312424 in words is "three hundred thirteen trillion, one hundred twenty-one billion, twelve million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 2069 4138 6207 8276 12414 16552 24828 49656 126209 252418 378627 504836 757254 1009672 1514508 3029016 103373839 206747678 310121517 413495356 620243034 826990712 1240486068 2480972136 6305804179 12611608358 18917412537 25223216716 37834825074 50446433432 75669650148 151339300296 213880472891 427760945782 641641418673 855521891564 1283282837346 1711043783128 2566565674692 5133131349384 13046708846351 26093417692702 39140126539053 52186835385404 78280253078106 104373670770808 156560506156212 313121012312424