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131021144202012 = 22323796009041653
BaseRepresentation
bin11101110010100110111100…
…110000100001101100011100
3122011220111110210222110120220
4131302212330300201230130
5114133122300403431022
61142354141022041340
736411652044206361
oct3562467460415434
9564814423873526
10131021144202012
1138824834208039
1212840938119250
1358153192b465c
14244d658854468
15102326224385c
hex7729bcc21b1c

131021144202012 has 48 divisors (see below), whose sum is σ = 323046079319040. Its totient is φ = 41246061899328.

The previous prime is 131021144201923. The next prime is 131021144202019. The reversal of 131021144202012 is 210202441120131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021144202019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004499023 + ... + 3004542630.

It is an arithmetic number, because the mean of its divisors is an integer number (6730126652480).

Almost surely, 2131021144202012 is an apocalyptic number.

131021144202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131021144202012 is an abundant number, since it is smaller than the sum of its proper divisors (192024935117028).

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

131021144202012 is a wasteful number, since it uses less digits than its factorization.

131021144202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009041762 (or 6009041760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131021144202012 its reverse (210202441120131), we get a palindrome (341223585322143).

The spelling of 131021144202012 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred forty-four million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 79 92 138 158 237 276 316 474 948 1817 3634 5451 7268 10902 21804 6009041653 12018083306 18027124959 24036166612 36054249918 72108499836 138207958019 276415916038 414623874057 474714290587 552831832076 829247748114 949428581174 1424142871761 1658495496228 1898857162348 2848285743522 5696571487044 10918428683501 21836857367002 32755286050503 43673714734004 65510572101006 131021144202012