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131299400 = 23521394723
BaseRepresentation
bin1111101001101…
…11100001001000
3100011001200220202
413310313201020
5232103040100
621010111332
73153012041
oct764674110
9304050822
10131299400
116812a201
1237b7b548
132128206b
141361b8c8
15b7d87d5
hex7d37848

131299400 has 48 divisors (see below), whose sum is σ = 307532400. Its totient is φ = 52130880.

The previous prime is 131299373. The next prime is 131299429. The reversal of 131299400 is 4992131.

It is a happy 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, 25439 + ... + 30161.

It is an arithmetic number, because the mean of its divisors is an integer number (6406925).

Almost surely, 2131299400 is an apocalyptic number.

131299400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131299400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153766200).

131299400 is an abundant number, since it is smaller than the sum of its proper divisors (176233000).

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

131299400 is a wasteful number, since it uses less digits than its factorization.

131299400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 131299400 is about 11458.5950273146. The cubic root of 131299400 is about 508.2619291147.

The spelling of 131299400 in words is "one hundred thirty-one million, two hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 4723 5560 6950 9446 13900 18892 23615 27800 37784 47230 94460 118075 188920 236150 472300 656497 944600 1312994 2625988 3282485 5251976 6564970 13129940 16412425 26259880 32824850 65649700 131299400