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3131230312116 = 2232379874726237
BaseRepresentation
bin101101100100001011110…
…111101101011010110100
3102002100020211020212000100
4231210023313231122310
5402300224424441431
610354244540314100
7442136543335164
oct55441367553264
912070224225010
103131230312116
11aa7a46975585
12426a2a842930
1319937357cc6a
14ab7a39425a4
15566b55ce4e6
hex2d90bded6b4

3131230312116 has 72 divisors (see below), whose sum is σ = 7937148229920. Its totient is φ = 1040830814016.

The previous prime is 3131230312081. The next prime is 3131230312117. The reversal of 3131230312116 is 6112130321313.

3131230312116 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 230 + 312 + 116 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3131230312116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131230312117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119330950 + ... + 119357186.

It is an arithmetic number, because the mean of its divisors is an integer number (110238169860).

Almost surely, 23131230312116 is an apocalyptic number.

3131230312116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3131230312116 is an abundant number, since it is smaller than the sum of its proper divisors (4805917917804).

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

3131230312116 is a wasteful number, since it uses less digits than its factorization.

3131230312116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35373 (or 35368 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 3131230312116 its reverse (6112130321313), we get a palindrome (9243360633429).

The spelling of 3131230312116 in words is "three trillion, one hundred thirty-one billion, two hundred thirty million, three hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 379 758 1137 1516 2274 3411 4548 6822 8747 13644 17494 26237 26241 34988 52474 52482 78711 78723 104948 104964 157422 157446 236133 314844 314892 472266 944532 3315113 6630226 9943823 9945339 13260452 19887646 19890678 29831469 29836017 39775292 39781356 59662938 59672034 89494407 119325876 119344068 178988814 229495039 357977628 458990078 688485117 917980156 1376970234 2065455351 2753940468 4130910702 8261821404 86978619781 173957239562 260935859343 347914479124 521871718686 782807578029 1043743437372 1565615156058 3131230312116