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131305400 = 2352656527
BaseRepresentation
bin1111101001110…
…00111110111000
3100011002000010222
413310320332320
5232103233100
621010155212
73153035402
oct764707670
9304060128
10131305400
1168133766
1237b82b08
1321284a05
141361db72
15b7da485
hex7d38fb8

131305400 has 24 divisors (see below), whose sum is σ = 305285520. Its totient is φ = 52522080.

The previous prime is 131305393. The next prime is 131305403. The reversal of 131305400 is 4503131.

It is a super-2 number, since 2×1313054002 = 34482216138320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131305403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 328064 + ... + 328463.

It is an arithmetic number, because the mean of its divisors is an integer number (12720230).

Almost surely, 2131305400 is an apocalyptic number.

131305400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131305400 is an abundant number, since it is smaller than the sum of its proper divisors (173980120).

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

131305400 is a wasteful number, since it uses less digits than its factorization.

131305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656543 (or 656534 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 131305400 is about 11458.8568365261. The cubic root of 131305400 is about 508.2696710265.

Adding to 131305400 its reverse (4503131), we get a palindrome (135808531).

The spelling of 131305400 in words is "one hundred thirty-one million, three hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 656527 1313054 2626108 3282635 5252216 6565270 13130540 16413175 26261080 32826350 65652700 131305400