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131909967 = 32714472
BaseRepresentation
bin1111101110011…
…00100101001111
3100012012201110100
413313030211033
5232232104332
621031142143
73161134110
oct767144517
9305181410
10131909967
1168506a02
1238214953
1321436c47
141373a207
15b8a967c
hex7dcc94f

131909967 has 18 divisors (see below), whose sum is σ = 217906728. Its totient is φ = 75325032.

The previous prime is 131909963. The next prime is 131910001. The reversal of 131909967 is 769909131.

It is not a de Polignac number, because 131909967 - 22 = 131909963 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131909963) 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 17 ways as a sum of consecutive naturals, for example, 90438 + ... + 91884.

Almost surely, 2131909967 is an apocalyptic number.

131909967 is a deficient number, since it is larger than the sum of its proper divisors (85996761).

131909967 is an frugal number, since it uses more digits than its factorization.

131909967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 131909967 is about 11485.2064413314. The cubic root of 131909967 is about 509.0485490390.

The spelling of 131909967 in words is "one hundred thirty-one million, nine hundred nine thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 21 63 1447 4341 10129 13023 30387 91161 2093809 6281427 14656663 18844281 43969989 131909967