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131514381 = 337961657
BaseRepresentation
bin1111101011011…
…00000000001101
3100011110121211000
413311230000031
5232131430011
621014450513
73154565565
oct765540015
9304417730
10131514381
1168266779
1238063a39
1321328b7b
1413675da5
15b82c356
hex7d6c00d

131514381 has 16 divisors (see below), whose sum is σ = 197305600. Its totient is φ = 86565024.

The previous prime is 131514379. The next prime is 131514389. The reversal of 131514381 is 183415131.

It is not a de Polignac number, because 131514381 - 21 = 131514379 is a prime.

It is a super-2 number, since 2×1315143812 = 34592064819626322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131514389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28696 + ... + 32961.

It is an arithmetic number, because the mean of its divisors is an integer number (12331600).

Almost surely, 2131514381 is an apocalyptic number.

It is an amenable number.

131514381 is a deficient number, since it is larger than the sum of its proper divisors (65791219).

131514381 is an equidigital number, since it uses as much as digits as its factorization.

131514381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61745 (or 61739 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 131514381 is about 11467.9719654349. The cubic root of 131514381 is about 508.5391760699.

The spelling of 131514381 in words is "one hundred thirty-one million, five hundred fourteen thousand, three hundred eighty-one".

Divisors: 1 3 9 27 79 237 711 2133 61657 184971 554913 1664739 4870903 14612709 43838127 131514381