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130187431920 = 243571347532393
BaseRepresentation
bin111100100111111000…
…1101000111111110000
3110110000222121202212210
41321033301220333300
54113110440310140
6135450212252120
712256110625050
oct1711761507760
9413028552783
10130187431920
1150237458547
1221293611040
13c37997b3b0
146430339560
1535be538d80
hex1e4fc68ff0

130187431920 has 640 divisors, whose sum is σ = 517070905344. Its totient is φ = 26365427712.

The previous prime is 130187431909. The next prime is 130187431951. The reversal of 130187431920 is 29134781031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54402244 + ... + 54404636.

Almost surely, 2130187431920 is an apocalyptic number.

130187431920 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 130187431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258535452672).

130187431920 is an abundant number, since it is smaller than the sum of its proper divisors (386883473424).

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

130187431920 is a wasteful number, since it uses less digits than its factorization.

130187431920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 130187431920 in words is "one hundred thirty billion, one hundred eighty-seven million, four hundred thirty-one thousand, nine hundred twenty".