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131088414 = 23109227883
BaseRepresentation
bin1111101000001…
…00000000011110
3100010122222111110
413310010000132
5232024312124
621001402450
73151142652
oct764040036
9303588443
10131088414
1167aa5736
1237a99426
132120a012
14135a4a62
15b796029
hex7d0401e

131088414 has 32 divisors (see below), whose sum is σ = 266048640. Its totient is φ = 43055712.

The previous prime is 131088401. The next prime is 131088427. The reversal of 131088414 is 414880131.

It is an interprime number because it is at equal distance from previous prime (131088401) and next prime (131088427).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148017 + ... + 148899.

It is an arithmetic number, because the mean of its divisors is an integer number (8314020).

Almost surely, 2131088414 is an apocalyptic number.

131088414 is an abundant number, since it is smaller than the sum of its proper divisors (134960226).

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

131088414 is a wasteful number, since it uses less digits than its factorization.

131088414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 131088414 is about 11449.3848743066. The cubic root of 131088414 is about 507.9895398470.

The spelling of 131088414 in words is "one hundred thirty-one million, eighty-eight thousand, four hundred fourteen".

Divisors: 1 2 3 6 109 218 227 327 454 654 681 883 1362 1766 2649 5298 24743 49486 74229 96247 148458 192494 200441 288741 400882 577482 601323 1202646 21848069 43696138 65544207 131088414