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131138800 = 24521325219
BaseRepresentation
bin1111101000100…
…00010011110000
3100010202112121121
413310100103300
5232032420200
621002432024
73151442602
oct764202360
9303675547
10131138800
116802a581
1237b02614
1321226c30
14135b9172
15b7a5e1a
hex7d104f0

131138800 has 60 divisors (see below), whose sum is σ = 339309880. Its totient is φ = 48418560.

The previous prime is 131138771. The next prime is 131138851. The reversal of 131138800 is 8831131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7410 + ... + 17809.

Almost surely, 2131138800 is an apocalyptic number.

131138800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131138800 is an abundant number, since it is smaller than the sum of its proper divisors (208171080).

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

131138800 is a wasteful number, since it uses less digits than its factorization.

131138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25250 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 131138800 is about 11451.5850431283. The cubic root of 131138800 is about 508.0546162371.

Adding to 131138800 its reverse (8831131), we get a palindrome (139969931).

The spelling of 131138800 in words is "one hundred thirty-one million, one hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 25219 50438 100876 126095 201752 252190 327847 403504 504380 630475 655694 1008760 1260950 1311388 1639235 2017520 2521900 2622776 3278470 5043800 5245552 6556940 8196175 10087600 13113880 16392350 26227760 32784700 65569400 131138800