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131142024 = 23331346703
BaseRepresentation
bin1111101000100…
…01000110001000
3100010202201001000
413310101012020
5232033021044
621002455000
73151455156
oct764210610
9303681030
10131142024
1168031a42
1237b04460
1321228540
14135ba3d6
15b7a6d69
hex7d11188

131142024 has 64 divisors (see below), whose sum is σ = 392313600. Its totient is φ = 40350528.

The previous prime is 131142019. The next prime is 131142043. The reversal of 131142024 is 420241131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131141988 and 131142006.

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, 20544 + ... + 26159.

It is an arithmetic number, because the mean of its divisors is an integer number (6129900).

Almost surely, 2131142024 is an apocalyptic number.

It is an amenable number.

131142024 is an abundant number, since it is smaller than the sum of its proper divisors (261171576).

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

131142024 is a wasteful number, since it uses less digits than its factorization.

131142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46731 (or 46721 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131142024 is about 11451.7258088028. The cubic root of 131142024 is about 508.0587796494.

Adding to 131142024 its reverse (420241131), we get a palindrome (551383155).

The spelling of 131142024 in words is "one hundred thirty-one million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 46703 93406 140109 186812 280218 373624 420327 560436 607139 840654 1120872 1214278 1260981 1681308 1821417 2428556 2521962 3362616 3642834 4857112 5043924 5464251 7285668 10087848 10928502 14571336 16392753 21857004 32785506 43714008 65571012 131142024