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131966901 = 3411374003
BaseRepresentation
bin1111101110110…
…10011110110101
3100012022121120000
413313122132311
5232240420101
621032301513
73161462103
oct767323665
9305277500
10131966901
1168545760
1238241899
1321456b31
1413752c73
15b8bb486
hex7dda7b5

131966901 has 40 divisors (see below), whose sum is σ = 220924704. Its totient is φ = 77798880.

The previous prime is 131966899. The next prime is 131966917. The reversal of 131966901 is 109669131.

It is not a de Polignac number, because 131966901 - 21 = 131966899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131966921) 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 39 ways as a sum of consecutive naturals, for example, 30966 + ... + 34968.

Almost surely, 2131966901 is an apocalyptic number.

131966901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131966901 is a deficient number, since it is larger than the sum of its proper divisors (88957803).

131966901 is a wasteful number, since it uses less digits than its factorization.

131966901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 131966901 is about 11487.6847536830. The cubic root of 131966901 is about 509.1217757558.

The spelling of 131966901 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, nine hundred one".

Divisors: 1 3 9 11 27 33 37 81 99 111 297 333 407 891 999 1221 2997 3663 4003 10989 12009 32967 36027 44033 108081 132099 148111 324243 396297 444333 1188891 1332999 1629221 3566673 3998997 4887663 11996991 14662989 43988967 131966901