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131481350 = 252711133771
BaseRepresentation
bin1111101011000…
…11111100000110
3100011101221111122
413311203330012
5232124400400
621014033542
73154400360
oct765437406
9304357448
10131481350
1168243980
12380488b2
1321316b20
1413667d30
15b822685
hex7d63f06

131481350 has 192 divisors, whose sum is σ = 341978112. Its totient is φ = 36288000.

The previous prime is 131481347. The next prime is 131481353. The reversal of 131481350 is 53184131.

131481350 = T1 + T2 + ... + T923.

131481350 is a nontrivial binomial coefficient, being equal to C(925, 3).

It is an interprime number because it is at equal distance from previous prime (131481347) and next prime (131481353).

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 (131481353) by changing a digit.

It is the 923-rd tetrahedral number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1851815 + ... + 1851885.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2131481350 is an apocalyptic number.

131481350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131481350 is an abundant number, since it is smaller than the sum of its proper divisors (210496762).

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

131481350 is a wasteful number, since it uses less digits than its factorization.

131481350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 131481350 is about 11466.5317337022. The cubic root of 131481350 is about 508.4965978011.

The spelling of 131481350 in words is "one hundred thirty-one million, four hundred eighty-one thousand, three hundred fifty".