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131190675 = 35271122717
BaseRepresentation
bin1111101000111…
…00111110010011
3100010212011202220
413310130332103
5232041100200
621003512123
73152050050
oct764347623
9303764686
10131190675
1168065550
1237b28643
1321244725
14135d0027
15b7b64a0
hex7d1cf93

131190675 has 48 divisors (see below), whose sum is σ = 270435072. Its totient is φ = 54518400.

The previous prime is 131190607. The next prime is 131190679. The reversal of 131190675 is 576091131.

It is a happy number.

It is not a de Polignac number, because 131190675 - 210 = 131189651 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131190679) 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 47 ways as a sum of consecutive naturals, for example, 5584 + ... + 17133.

It is an arithmetic number, because the mean of its divisors is an integer number (5634064).

Almost surely, 2131190675 is an apocalyptic number.

131190675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131190675 is an abundant number, since it is smaller than the sum of its proper divisors (139244397).

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

131190675 is a wasteful number, since it uses less digits than its factorization.

131190675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22748 (or 22743 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 131190675 is about 11453.8497894813. The cubic root of 131190675 is about 508.1215983427.

The spelling of 131190675 in words is "one hundred thirty-one million, one hundred ninety thousand, six hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1155 1925 5775 22717 68151 113585 159019 249887 340755 477057 567925 749661 795095 1249435 1703775 1749209 2385285 3748305 3975475 5247627 6247175 8746045 11926425 18741525 26238135 43730225 131190675