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131453052 = 22341397673
BaseRepresentation
bin1111101010111…
…01000001111100
3100011100111200120
413311131001330
5232122444202
621013254540
73154222023
oct765350174
9304314616
10131453052
1168224695
1238034450
1321306c93
141365b8ba
15b8190bc
hex7d5d07c

131453052 has 48 divisors (see below), whose sum is σ = 315464352. Its totient is φ = 42577920.

The previous prime is 131453041. The next prime is 131453057. The reversal of 131453052 is 250354131.

It is a super-2 number, since 2×1314530522 = 34559809760229408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131453057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194988 + ... + 195660.

It is an arithmetic number, because the mean of its divisors is an integer number (6572174).

Almost surely, 2131453052 is an apocalyptic number.

131453052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131453052 is an abundant number, since it is smaller than the sum of its proper divisors (184011300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131453052 is a wasteful number, since it uses less digits than its factorization.

131453052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 131453052 is about 11465.2977283627. The cubic root of 131453052 is about 508.4601148851.

The spelling of 131453052 in words is "one hundred thirty-one million, four hundred fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 397 492 673 794 1191 1346 1588 2019 2382 2692 4038 4764 8076 16277 27593 32554 48831 55186 65108 82779 97662 110372 165558 195324 267181 331116 534362 801543 1068724 1603086 3206172 10954421 21908842 32863263 43817684 65726526 131453052