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131530848750 = 23254717195171
BaseRepresentation
bin111101001111111011…
…0010111100111101110
3110120111121111102022200
41322133312113213232
54123333344130000
6140231402322330
712334312524150
oct1723766274756
9416447442280
10131530848750
115086680a494
12215a94b93a6
13c5320a81b2
14651a91cad0
15364c453500
hex1e9fd979ee

131530848750 has 480 divisors, whose sum is σ = 453697770240. Its totient is φ = 26801280000.

The previous prime is 131530848727. The next prime is 131530848763. The reversal of 131530848750 is 57848035131.

It is a happy number.

131530848750 is a `hidden beast` number, since 1 + 3 + 1 + 530 + 8 + 48 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131530848696 and 131530848705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25433665 + ... + 25438835.

It is an arithmetic number, because the mean of its divisors is an integer number (945203688).

Almost surely, 2131530848750 is an apocalyptic number.

131530848750 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 131530848750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226848885120).

131530848750 is an abundant number, since it is smaller than the sum of its proper divisors (322166921490).

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

131530848750 is a wasteful number, since it uses less digits than its factorization.

131530848750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 131530848750 in words is "one hundred thirty-one billion, five hundred thirty million, eight hundred forty-eight thousand, seven hundred fifty".