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131175045 = 3551071009
BaseRepresentation
bin1111101000110…
…01001010000101
3100010211101100000
413310121022011
5232040100140
621003311513
73151653351
oct764311205
9303741300
10131175045
1168054831
1237b1b599
132123a591
14135c8461
15b7b1a30
hex7d19285

131175045 has 48 divisors (see below), whose sum is σ = 238230720. Its totient is φ = 69237504.

The previous prime is 131175019. The next prime is 131175061. The reversal of 131175045 is 540571131.

It is not a de Polignac number, because 131175045 - 25 = 131175013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129501 + ... + 130509.

It is an arithmetic number, because the mean of its divisors is an integer number (4963140).

Almost surely, 2131175045 is an apocalyptic number.

131175045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131175045 is a deficient number, since it is larger than the sum of its proper divisors (107055675).

131175045 is a wasteful number, since it uses less digits than its factorization.

131175045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 131175045 is about 11453.1674658149. The cubic root of 131175045 is about 508.1014184124.

The spelling of 131175045 in words is "one hundred thirty-one million, one hundred seventy-five thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 107 135 243 321 405 535 963 1009 1215 1605 2889 3027 4815 5045 8667 9081 14445 15135 26001 27243 43335 45405 81729 107963 130005 136215 245187 323889 408645 539815 971667 1225935 1619445 2915001 4858335 8745003 14575005 26235009 43725015 131175045