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13031201211012 = 2232361977811417
BaseRepresentation
bin1011110110100001000000…
…0111101000001010000100
31201010202210211002021101100
42331220100013220022010
53202000400002223022
643414241242500100
72513321212461225
oct275502007501204
951122724067340
1013031201211012
1141745573a73a6
12156564ab04630
13736ab5b79c5a
143309dbbd724c
15178e8898a1ac
hexbda101e8284

13031201211012 has 18 divisors (see below), whose sum is σ = 32939980839038. Its totient is φ = 4343733736992.

The previous prime is 13031201211011. The next prime is 13031201211037. The reversal of 13031201211012 is 21011210213031.

13031201211012 is a `hidden beast` number, since 130 + 312 + 0 + 1 + 211 + 0 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12294378119556 + 736823091456 = 3506334^2 + 858384^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13031201211011) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 180988905673 + ... + 180988905744.

Almost surely, 213031201211012 is an apocalyptic number.

13031201211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13031201211012 is an abundant number, since it is smaller than the sum of its proper divisors (19908779628026).

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

13031201211012 is a wasteful number, since it uses less digits than its factorization.

13031201211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361977811427 (or 361977811422 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13031201211012 its reverse (21011210213031), we get a palindrome (34042411424043).

The spelling of 13031201211012 in words is "thirteen trillion, thirty-one billion, two hundred one million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 361977811417 723955622834 1085933434251 1447911245668 2171866868502 3257800302753 4343733737004 6515600605506 13031201211012