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131452431 = 31119316763
BaseRepresentation
bin1111101010111…
…00111000001111
3100011100110211120
413311130320033
5232122434211
621013252023
73154220145
oct765347017
9304313746
10131452431
1168224180
1238034013
1321306906
141365b595
15b818d06
hex7d5ce0f

131452431 has 32 divisors (see below), whose sum is σ = 207790080. Its totient is φ = 73029600.

The previous prime is 131452423. The next prime is 131452441. The reversal of 131452431 is 134254131.

It is a happy number.

It is not a de Polignac number, because 131452431 - 23 = 131452423 is a prime.

It is a super-2 number, since 2×1314524312 = 34559483231619522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131452421) 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 31 ways as a sum of consecutive naturals, for example, 16056 + ... + 22818.

It is an arithmetic number, because the mean of its divisors is an integer number (6493440).

Almost surely, 2131452431 is an apocalyptic number.

131452431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131452431 is a deficient number, since it is larger than the sum of its proper divisors (76337649).

131452431 is a wasteful number, since it uses less digits than its factorization.

131452431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827.

The product of its digits is 1440, while the sum is 24.

The square root of 131452431 is about 11465.2706466093. The cubic root of 131452431 is about 508.4593142083.

It can be divided in two parts, 13145 and 2431, that added together give a triangular number (15576 = T176).

The spelling of 131452431 in words is "one hundred thirty-one million, four hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 1023 1767 6479 6763 19437 20289 74393 128497 209653 223179 385491 628959 1413467 2306183 3983407 4240401 6918549 11950221 43817477 131452431