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131956957 = 11192397283
BaseRepresentation
bin1111101110110…
…00000011011101
3100012022002220201
413313120003131
5232240110312
621032143501
73161421106
oct767300335
9305262821
10131956957
1168539240
1238237b91
1321452452
141374d3ad
15b8b8557
hex7dd80dd

131956957 has 32 divisors (see below), whose sum is σ = 160312320. Its totient is φ = 107205120.

The previous prime is 131956949. The next prime is 131956963. The reversal of 131956957 is 759659131.

It is not a de Polignac number, because 131956957 - 23 = 131956949 is a prime.

It is a super-3 number, since 3×1319569573 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131956967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 466138 + ... + 466420.

It is an arithmetic number, because the mean of its divisors is an integer number (5009760).

Almost surely, 2131956957 is an apocalyptic number.

It is an amenable number.

131956957 is a deficient number, since it is larger than the sum of its proper divisors (28355363).

131956957 is a wasteful number, since it uses less digits than its factorization.

131956957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433.

The product of its digits is 255150, while the sum is 46.

The square root of 131956957 is about 11487.2519342095. The cubic root of 131956957 is about 509.1089876146.

The spelling of 131956957 in words is "one hundred thirty-one million, nine hundred fifty-six thousand, nine hundred fifty-seven".

Divisors: 1 11 19 23 97 209 253 283 437 1067 1843 2231 3113 4807 5377 6509 20273 24541 27451 42389 59147 71599 123671 301961 466279 521569 631373 1360381 5737259 6945103 11996087 131956957