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131199750 = 23453111931
BaseRepresentation
bin1111101000111…
…11001100000110
3100010212122020000
413310133030012
5232041343000
621004022130
73152115363
oct764371406
9303778200
10131199750
1168071350
1237b31946
13212488b6
14135d346a
15b7b9000
hex7d1f306

131199750 has 320 divisors, whose sum is σ = 434903040. Its totient is φ = 29160000.

The previous prime is 131199671. The next prime is 131199787. The reversal of 131199750 is 57991131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4232235 + ... + 4232265.

It is an arithmetic number, because the mean of its divisors is an integer number (1359072).

Almost surely, 2131199750 is an apocalyptic number.

131199750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131199750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217451520).

131199750 is an abundant number, since it is smaller than the sum of its proper divisors (303703290).

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

131199750 is a wasteful number, since it uses less digits than its factorization.

131199750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 131199750 is about 11454.2459376425. The cubic root of 131199750 is about 508.1333143613.

The spelling of 131199750 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, seven hundred fifty".