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131853071 = 721729311
BaseRepresentation
bin1111101101111…
…10101100001111
3100012002211102002
413312332230033
5232223244241
621030022515
73160506200
oct766765417
9305084362
10131853071
1168478189
12381a7a3b
132141708c
14137235a7
15b89789b
hex7dbeb0f

131853071 has 18 divisors (see below), whose sum is σ = 162950688. Its totient is φ = 106357440.

The previous prime is 131853041. The next prime is 131853077. The reversal of 131853071 is 170358131.

It is not a de Polignac number, because 131853071 - 222 = 127658767 is a prime.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131853077) 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 17 ways as a sum of consecutive naturals, for example, 9506 + ... + 18816.

It is an arithmetic number, because the mean of its divisors is an integer number (9052816).

Almost surely, 2131853071 is an apocalyptic number.

131853071 is a deficient number, since it is larger than the sum of its proper divisors (31097617).

131853071 is an equidigital number, since it uses as much as digits as its factorization.

131853071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9335 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 131853071 is about 11482.7292487457. The cubic root of 131853071 is about 508.9753501443.

The spelling of 131853071 in words is "one hundred thirty-one million, eight hundred fifty-three thousand, seventy-one".

Divisors: 1 7 17 49 119 289 833 2023 9311 14161 65177 158287 456239 1108009 2690879 7756063 18836153 131853071