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312133133112 = 233177310479893
BaseRepresentation
bin1001000101011001001…
…01011010001100111000
31002211200002120001101120
410202230211122030320
520103222040224422
6355220400145240
731356643566303
oct4425445321470
91084602501346
10312133133112
1111041401a839
12505b0908220
1323584738008
14111706d7b3a
1581bc97b45c
hex48ac95a338

312133133112 has 64 divisors (see below), whose sum is σ = 837553128480. Its totient is φ = 96582684672.

The previous prime is 312133133089. The next prime is 312133133159. The reversal of 312133133112 is 211331331213.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5210163 + ... + 5269730.

Almost surely, 2312133133112 is an apocalyptic number.

It is an amenable number.

312133133112 is an abundant number, since it is smaller than the sum of its proper divisors (525419995368).

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

312133133112 is a wasteful number, since it uses less digits than its factorization.

312133133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479992 (or 10479988 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 312133133112 its reverse (211331331213), we get a palindrome (523464464325).

The spelling of 312133133112 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 204 219 292 408 438 584 876 1241 1752 2482 3723 4964 7446 9928 14892 29784 10479893 20959786 31439679 41919572 62879358 83839144 125758716 178158181 251517432 356316362 534474543 712632724 765032189 1068949086 1425265448 1530064378 2137898172 2295096567 3060128756 4275796344 4590193134 6120257512 9180386268 13005547213 18360772536 26011094426 39016641639 52022188852 78033283278 104044377704 156066566556 312133133112