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131344351253205 = 3531282460970437
BaseRepresentation
bin11101110111010011111101…
…011001100101001011010101
3122020001101201200001211202120
4131313103331121211023111
5114203421212410100310
61143202432330530153
736444213315624306
oct3567237531451325
9566041650054676
10131344351253205
1138939910162392
12128934b9596959
135839947057ccc
142461159b807ad
15102b87beb0b70
hex7774fd6652d5

131344351253205 has 16 divisors (see below), whose sum is σ = 216930025296384. Its totient is φ = 67790632904640.

The previous prime is 131344351253197. The next prime is 131344351253233. The reversal of 131344351253205 is 502352153443131.

It is not a de Polignac number, because 131344351253205 - 23 = 131344351253197 is a prime.

It is a super-2 number, since 2×1313443512532052 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141230484754 + ... + 141230485683.

It is an arithmetic number, because the mean of its divisors is an integer number (13558126581024).

Almost surely, 2131344351253205 is an apocalyptic number.

131344351253205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131344351253205 is a deficient number, since it is larger than the sum of its proper divisors (85585674043179).

131344351253205 is a wasteful number, since it uses less digits than its factorization.

131344351253205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282460970476.

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 131344351253205 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-one million, two hundred fifty-three thousand, two hundred five".

Divisors: 1 3 5 15 31 93 155 465 282460970437 847382911311 1412304852185 4236914556555 8756290083547 26268870250641 43781450417735 131344351253205