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312102331112 = 2311131075694481
BaseRepresentation
bin1001000101010101011…
…11111010001011101000
31002211120221121010222202
410202222233322023220
520103141144043422
6355213340035332
731356121020455
oct4425257721350
91084527533882
10312102331112
111103a86a1840
12505a2532b48
132357b241c90
141116a59a82c
1581b9de4b92
hex48aabfa2e8

312102331112 has 128 divisors (see below), whose sum is σ = 695298038400. Its totient is φ = 129471283200.

The previous prime is 312102331081. The next prime is 312102331117. The reversal of 312102331112 is 211133201213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312102331117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69647912 + ... + 69652392.

It is an arithmetic number, because the mean of its divisors is an integer number (5432015925).

Almost surely, 2312102331112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312102331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347649019200).

312102331112 is an abundant number, since it is smaller than the sum of its proper divisors (383195707288).

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

312102331112 is a wasteful number, since it uses less digits than its factorization.

312102331112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 312102331112 its reverse (211133201213), we get a palindrome (523235532325).

The spelling of 312102331112 in words is "three hundred twelve billion, one hundred two million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 107 143 214 286 428 569 572 856 1138 1144 1177 1391 2276 2354 2782 4481 4552 4708 5564 6259 7397 8962 9416 11128 12518 14794 15301 17924 25036 29588 30602 35848 49291 50072 58253 59176 60883 61204 81367 98582 116506 121766 122408 162734 197164 233012 243532 325468 394328 466024 479467 487064 640783 650936 669713 791479 958934 1281566 1339426 1582958 1917868 2549689 2563132 2678852 3165916 3835736 5099378 5126264 5274137 5357704 6233071 6331832 8706269 10198756 10548274 12466142 17412538 20397512 21096548 24932284 28046579 33145957 34825076 42193096 49864568 56093158 66291914 68563781 69650152 112186316 132583828 137127562 224372632 265167656 272816723 274255124 364605527 545633446 548510248 729211054 1091266892 1458422108 2182533784 2916844216 3000983953 3546617399 6001967906 7093234798 12003935812 14186469596 24007871624 28372939192 39012791389 78025582778 156051165556 312102331112