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1331352957 = 3112107151227
BaseRepresentation
bin100111101011010…
…1101010101111101
310102210011201220210
41033112231111331
510211311243312
6340035303033
744664212334
oct11726552575
93383151823
101331352957
11623572200
12311a4aa79
13182a94a1c
14c8b62d1b
157bd34e3c
hex4f5ad57d

1331352957 has 48 divisors (see below), whose sum is σ = 1991195136. Its totient is φ = 790548000.

The previous prime is 1331352941. The next prime is 1331352983. The reversal of 1331352957 is 7592531331.

It is not a de Polignac number, because 1331352957 - 24 = 1331352941 is a prime.

It is a super-2 number, since 2×13313529572 = 3545001392225287698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331352917) 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, 5864878 + ... + 5865104.

It is an arithmetic number, because the mean of its divisors is an integer number (41483232).

Almost surely, 21331352957 is an apocalyptic number.

It is an amenable number.

1331352957 is a deficient number, since it is larger than the sum of its proper divisors (659842179).

1331352957 is a wasteful number, since it uses less digits than its factorization.

1331352957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its digits is 85050, while the sum is 39.

The square root of 1331352957 is about 36487.7096705178. The cubic root of 1331352957 is about 1100.0972247398.

The spelling of 1331352957 in words is "one billion, three hundred thirty-one million, three hundred fifty-two thousand, nine hundred fifty-seven".

Divisors: 1 3 11 33 107 121 151 227 321 363 453 681 1177 1661 2497 3531 4983 7491 12947 16157 18271 24289 27467 34277 38841 48471 54813 72867 82401 102831 177727 267179 377047 533181 801537 1131141 1954997 2938969 3667639 4147517 5864991 8816907 11002917 12442551 40344029 121032087 443784319 1331352957