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12312003314052 = 22321363734127993
BaseRepresentation
bin1011001100101001110010…
…0101011000000110000100
31121121000102200100122220200
42303022130211120012010
53103204440322022202
642104020051530500
72410340630303511
oct263123445300604
947530380318820
1012312003314052
113a17544996662
12146a194bb9a30
136b402b273590
14307c92d62308
151653e42a6e1c
hexb329c958184

12312003314052 has 72 divisors (see below), whose sum is σ = 33521276205144. Its totient is φ = 3787713363456.

The previous prime is 12312003314033. The next prime is 12312003314101. The reversal of 12312003314052 is 25041330021321.

12312003314052 is a `hidden beast` number, since 1 + 23 + 1 + 200 + 3 + 31 + 405 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1268650806336 + 11043352507716 = 1126344^2 + 3323154^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918568 + ... + 5046560.

It is an arithmetic number, because the mean of its divisors is an integer number (465573280627).

Almost surely, 212312003314052 is an apocalyptic number.

12312003314052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12312003314052 is an abundant number, since it is smaller than the sum of its proper divisors (21209272891092).

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

12312003314052 is a wasteful number, since it uses less digits than its factorization.

12312003314052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134389 (or 4134384 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12312003314052 its reverse (25041330021321), we get a palindrome (37353333335373).

The spelling of 12312003314052 in words is "twelve trillion, three hundred twelve billion, three million, three hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6373 12746 19119 25492 38238 57357 76476 82849 114714 165698 229428 248547 331396 497094 745641 994188 1491282 2982564 4127993 8255986 12383979 16511972 24767958 37151937 49535916 53663909 74303874 107327818 148607748 160991727 214655636 321983454 482975181 643966908 965950362 1931900724 26307699389 52615398778 78923098167 105230797556 157846196334 236769294501 315692392668 342000092057 473538589002 684000184114 947077178004 1026000276171 1368000368228 2052000552342 3078000828513 4104001104684 6156001657026 12312003314052