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131204024 = 2377132999
BaseRepresentation
bin1111101001000…
…00001110111000
3100010212212002022
413310200032320
5232042012044
621004054012
73152134010
oct764401670
9303785068
10131204024
1168074586
1237b34308
132124a823
14135d4c40
15b7ba3ee
hex7d203b8

131204024 has 32 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 55436640.

The previous prime is 131203999. The next prime is 131204039. The reversal of 131204024 is 420402131.

It is a junction number, because it is equal to n+sod(n) for n = 131203993 and 131204011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12524 + ... + 20475.

It is an arithmetic number, because the mean of its divisors is an integer number (8910000).

Almost surely, 2131204024 is an apocalyptic number.

131204024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131204024 is an abundant number, since it is smaller than the sum of its proper divisors (153915976).

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

131204024 is a wasteful number, since it uses less digits than its factorization.

131204024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33083 (or 33079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131204024 is about 11454.4325044936. The cubic root of 131204024 is about 508.1388319994.

Adding to 131204024 its reverse (420402131), we get a palindrome (551606155).

The spelling of 131204024 in words is "one hundred thirty-one million, two hundred four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1988 3976 32999 65998 131996 230993 263992 461986 923972 1847944 2342929 4685858 9371716 16400503 18743432 32801006 65602012 131204024