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131099950400 = 265281937469
BaseRepresentation
bin111101000011000101…
…0100111110101000000
3110112101120200111220112
41322012022213311000
54121443041403100
6140120530530452
712320531122556
oct1720612476500
9415346614815
10131099950400
1150665560151
12214a9136a28
13c493a38a63
1464b95d3bd6
1536246d9b35
hex1e862a7d40

131099950400 has 42 divisors (see below), whose sum is σ = 322587819390. Its totient is φ = 52439979520.

The previous prime is 131099950339. The next prime is 131099950403. The reversal of 131099950400 is 4059990131.

It can be written as a sum of positive squares in 3 ways, for example, as 44612198656 + 86487751744 = 211216^2 + 294088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131099950403) 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, 40967135 + ... + 40970334.

Almost surely, 2131099950400 is an apocalyptic number.

131099950400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131099950400 is an abundant number, since it is smaller than the sum of its proper divisors (191487868990).

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

131099950400 is an equidigital number, since it uses as much as digits as its factorization.

131099950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81937491 (or 81937476 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 41.

The spelling of 131099950400 in words is "one hundred thirty-one billion, ninety-nine million, nine hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 81937469 163874938 327749876 409687345 655499752 819374690 1310999504 1638749380 2048436725 2621999008 3277498760 4096873450 5243998016 6554997520 8193746900 13109995040 16387493800 26219990080 32774987600 65549975200 131099950400