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131329781172 = 22323648049477
BaseRepresentation
bin111101001001111011…
…1010110110110110100
3110112222121011010110100
41322103313112312310
54122430410444142
6140155420554100
712326321502252
oct1722367266664
9415877133410
10131329781172
1150773268437
12215520b2930
13c4cc538cb5
1464dbd3d5d2
153639987b4c
hex1e93dd6db4

131329781172 has 18 divisors (see below), whose sum is σ = 331972502498. Its totient is φ = 43776593712.

The previous prime is 131329781171. The next prime is 131329781249. The reversal of 131329781172 is 271187923131.

131329781172 is a `hidden beast` number, since 1 + 313 + 2 + 97 + 81 + 172 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109669594896 + 21660186276 = 331164^2 + 147174^2 .

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

It is a super-2 number, since 2×1313297811722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131329781171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1824024703 + ... + 1824024774.

Almost surely, 2131329781172 is an apocalyptic number.

131329781172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131329781172 is an abundant number, since it is smaller than the sum of its proper divisors (200642721326).

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

131329781172 is a wasteful number, since it uses less digits than its factorization.

131329781172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648049487 (or 3648049482 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 131329781172 in words is "one hundred thirty-one billion, three hundred twenty-nine million, seven hundred eighty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 3648049477 7296098954 10944148431 14592197908 21888296862 32832445293 43776593724 65664890586 131329781172