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131414103330195 = 3572189357167263
BaseRepresentation
bin11101111000010100111010…
…111100101000110110010011
3122020022001202210220111012110
4131320110322330220312103
5114211042040423031240
61143254450004000403
736452232662532330
oct3570247274506623
9566261683814173
10131414103330195
113896645440a204
12128a4b25390103
1358433b200944a
14246469589b987
15102d5b094cc80
hex77853af28d93

131414103330195 has 32 divisors (see below), whose sum is σ = 240311054979072. Its totient is φ = 60072273585792.

The previous prime is 131414103330193. The next prime is 131414103330227. The reversal of 131414103330195 is 591033301414131.

It is not a de Polignac number, because 131414103330195 - 21 = 131414103330193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131414103330193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26284867 + ... + 30882396.

It is an arithmetic number, because the mean of its divisors is an integer number (7509720468096).

Almost surely, 2131414103330195 is an apocalyptic number.

131414103330195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131414103330195 is a deficient number, since it is larger than the sum of its proper divisors (108896951648877).

131414103330195 is a wasteful number, since it uses less digits than its factorization.

131414103330195 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57189171.

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 131414103330195 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred three million, three hundred thirty thousand, one hundred ninety-five".

Divisors: 1 3 5 7 15 21 35 105 21893 65679 109465 153251 328395 459753 766255 2298765 57167263 171501789 285836315 400170841 857508945 1200512523 2000854205 6002562615 1251562888859 3754688666577 6257814444295 8760940222013 18773443332885 26282820666039 43804701110065 131414103330195