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131513430 = 23513613221
BaseRepresentation
bin1111101011010…
…11110001010110
3100011110120111210
413311223301112
5232131412210
621014442250
73154563036
oct765536126
9304416453
10131513430
1168265a94
1238063386
13213285c9
14136758c6
15b82be20
hex7d6bc56

131513430 has 32 divisors (see below), whose sum is σ = 315962208. Its totient is φ = 35033600.

The previous prime is 131513423. The next prime is 131513441. The reversal of 131513430 is 34315131.

It is a junction number, because it is equal to n+sod(n) for n = 131513397 and 131513406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39220 + ... + 42440.

It is an arithmetic number, because the mean of its divisors is an integer number (9873819).

Almost surely, 2131513430 is an apocalyptic number.

131513430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131513430 is an abundant number, since it is smaller than the sum of its proper divisors (184448778).

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

131513430 is a wasteful number, since it uses less digits than its factorization.

131513430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131513430 is about 11467.9305020566. The cubic root of 131513430 is about 508.5379502929.

Adding to 131513430 its reverse (34315131), we get a palindrome (165828561).

The spelling of 131513430 in words is "one hundred thirty-one million, five hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1361 2722 3221 4083 6442 6805 8166 9663 13610 16105 19326 20415 32210 40830 48315 96630 4383781 8767562 13151343 21918905 26302686 43837810 65756715 131513430