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131987700 = 2232521329389
BaseRepresentation
bin1111101110111…
…11100011110100
3100012100200002100
413313133203310
5232242101300
621032542100
73161606535
oct767374364
9305320070
10131987700
116855a349
1238251930
1321463440
141375a68c
15b8c2700
hex7ddf8f4

131987700 has 216 divisors, whose sum is σ = 462079800. Its totient is φ = 31288320.

The previous prime is 131987693. The next prime is 131987719. The reversal of 131987700 is 7789131.

It can be written as a sum of positive squares in 12 ways, for example, as 75377124 + 56610576 = 8682^2 + 7524^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 339106 + ... + 339494.

Almost surely, 2131987700 is an apocalyptic number.

131987700 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 131987700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231039900).

131987700 is an abundant number, since it is smaller than the sum of its proper divisors (330092100).

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

131987700 is a wasteful number, since it uses less digits than its factorization.

131987700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 131987700 is about 11488.5899918136. The cubic root of 131987700 is about 509.1485215218.

The spelling of 131987700 in words is "one hundred thirty-one million, nine hundred eighty-seven thousand, seven hundred".