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131376115305 = 3257727377827
BaseRepresentation
bin111101001011010100…
…0000110111001101001
3110120002211100010221100
41322112220012321221
54123024241142210
6140204154032013
712330423361221
oct1722650067151
9416084303840
10131376115305
1150797434a06
1221565718609
13c50900c946
146504161081
15363da8b5c0
hex1e96a06e69

131376115305 has 24 divisors (see below), whose sum is σ = 227748673152. Its totient is φ = 70058008224.

The previous prime is 131376115237. The next prime is 131376115307. The reversal of 131376115305 is 503511673131.

131376115305 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 7 + 611 + 5 + 30 + 5 = 666.

It is not a de Polignac number, because 131376115305 - 210 = 131376114281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131376115305.

It is not an unprimeable number, because it can be changed into a prime (131376115307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158802 + ... + 536628.

It is an arithmetic number, because the mean of its divisors is an integer number (9489528048).

Almost surely, 2131376115305 is an apocalyptic number.

131376115305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131376115305 is a deficient number, since it is larger than the sum of its proper divisors (96372557847).

131376115305 is a wasteful number, since it uses less digits than its factorization.

131376115305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385565 (or 385562 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

Adding to 131376115305 its reverse (503511673131), we get a palindrome (634887788436).

The spelling of 131376115305 in words is "one hundred thirty-one billion, three hundred seventy-six million, one hundred fifteen thousand, three hundred five".

Divisors: 1 3 5 9 15 45 7727 23181 38635 69543 115905 347715 377827 1133481 1889135 3400443 5667405 17002215 2919469229 8758407687 14597346145 26275223061 43792038435 131376115305