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131134941 = 32719711543
BaseRepresentation
bin1111101000011…
…11010111011101
3100010202100022200
413310033113131
5232032304231
621002402113
73151425420
oct764172735
9303670280
10131134941
1168027693
1237b00339
1321225252
14135b79b7
15b7a4be6
hex7d0f5dd

131134941 has 48 divisors (see below), whose sum is σ = 231229440. Its totient is φ = 69945120.

The previous prime is 131134931. The next prime is 131134951. The reversal of 131134941 is 149431131.

131134941 is a `hidden beast` number, since 1 + 311 + 349 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (131134931) and next prime (131134951).

It is not a de Polignac number, because 131134941 - 214 = 131118557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131134931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84216 + ... + 85758.

It is an arithmetic number, because the mean of its divisors is an integer number (4817280).

Almost surely, 2131134941 is an apocalyptic number.

It is an amenable number.

131134941 is a deficient number, since it is larger than the sum of its proper divisors (100094499).

131134941 is a wasteful number, since it uses less digits than its factorization.

131134941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1643 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 131134941 is about 11451.4165499295. The cubic root of 131134941 is about 508.0496327082.

It can be divided in two parts, 1311349 and 41, that added together give a triangular number (1311390 = T1619).

The spelling of 131134941 in words is "one hundred thirty-one million, one hundred thirty-four thousand, nine hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 71 133 171 213 399 497 639 1197 1349 1491 1543 4047 4473 4629 9443 10801 12141 13887 28329 29317 32403 84987 87951 97209 109553 205219 263853 328659 615657 766871 985977 1846971 2081507 2300613 6244521 6901839 14570549 18733563 43711647 131134941