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131313504 = 2537195407
BaseRepresentation
bin1111101001110…
…10111101100000
3100011002102021010
413310322331200
5232104013004
621010300520
73153101130
oct764727540
9304072233
10131313504
1168139863
1237b87740
13212885ca
1413622ac0
15b7dca89
hex7d3af60

131313504 has 48 divisors (see below), whose sum is σ = 393942528. Its totient is φ = 37517952.

The previous prime is 131313493. The next prime is 131313521. The reversal of 131313504 is 405313131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97032 + ... + 98375.

It is an arithmetic number, because the mean of its divisors is an integer number (8207136).

Almost surely, 2131313504 is an apocalyptic number.

131313504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131313504 is an abundant number, since it is smaller than the sum of its proper divisors (262629024).

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

131313504 is a wasteful number, since it uses less digits than its factorization.

131313504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195427 (or 195419 counting only the distinct ones).

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

The square root of 131313504 is about 11459.2104440053. The cubic root of 131313504 is about 508.2801273943.

Adding to 131313504 its reverse (405313131), we get a palindrome (536626635).

The spelling of 131313504 in words is "one hundred thirty-one million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 195407 390814 586221 781628 1172442 1367849 1563256 2344884 2735698 3126512 4103547 4689768 5471396 6253024 8207094 9379536 10942792 16414188 18759072 21885584 32828376 43771168 65656752 131313504