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131317550 = 25273131931
BaseRepresentation
bin1111101001110…
…11111100101110
3100011002121210222
413310323330232
5232104130200
621010331342
73153116000
oct764737456
9304077728
10131317550
1168141901
1237b89b52
132128a3c0
1413624370
15b7ddd85
hex7d3bf2e

131317550 has 192 divisors, whose sum is σ = 333312000. Its totient is φ = 38102400.

The previous prime is 131317541. The next prime is 131317559. The reversal of 131317550 is 55713131.

131317550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131317541) and next prime (131317559).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131317559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4236035 + ... + 4236065.

It is an arithmetic number, because the mean of its divisors is an integer number (1736000).

Almost surely, 2131317550 is an apocalyptic number.

131317550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131317550 is an abundant number, since it is smaller than the sum of its proper divisors (201994450).

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

131317550 is a wasteful number, since it uses less digits than its factorization.

131317550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 26.

The square root of 131317550 is about 11459.3869818590. The cubic root of 131317550 is about 508.2853476756.

The spelling of 131317550 in words is "one hundred thirty-one million, three hundred seventeen thousand, five hundred fifty".