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131303400 = 23352218839
BaseRepresentation
bin1111101001110…
…00011111101000
3100011001220101220
413310320133220
5232103202100
621010142040
73153026514
oct764703750
9304056356
10131303400
1168132208
1237b81920
1321283b27
141361d144
15b7d9aa0
hex7d387e8

131303400 has 48 divisors (see below), whose sum is σ = 407042400. Its totient is φ = 35014080.

The previous prime is 131303377. The next prime is 131303407. The reversal of 131303400 is 4303131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131303400.

It is not an unprimeable number, because it can be changed into a prime (131303407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108820 + ... + 110019.

It is an arithmetic number, because the mean of its divisors is an integer number (8480050).

Almost surely, 2131303400 is an apocalyptic number.

131303400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303400 is an abundant number, since it is smaller than the sum of its proper divisors (275739000).

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

131303400 is a wasteful number, since it uses less digits than its factorization.

131303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218858 (or 218849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 131303400 is about 11458.7695674536. The cubic root of 131303400 is about 508.2670904154.

Adding to 131303400 its reverse (4303131), we get a palindrome (135606531).

The spelling of 131303400 in words is "one hundred thirty-one million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 218839 437678 656517 875356 1094195 1313034 1750712 2188390 2626068 3282585 4376780 5252136 5470975 6565170 8753560 10941950 13130340 16412925 21883900 26260680 32825850 43767800 65651700 131303400