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130960901500 = 225311213269619
BaseRepresentation
bin111100111110111100…
…0001100010101111100
3110112000220001002200021
41321331320030111330
54121201442322000
6140055042341524
712314222203312
oct1717570142574
9415026032607
10130960901500
11505a4018700
122146a65a8a4
13c470ca25c0
1464a4d5a0b2
1536173c011a
hex1e7de0c57c

130960901500 has 288 divisors, whose sum is σ = 340375089600. Its totient is φ = 43724736000.

The previous prime is 130960901483. The next prime is 130960901509. The reversal of 130960901500 is 5109069031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130960901509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211568191 + ... + 211568809.

It is an arithmetic number, because the mean of its divisors is an integer number (1181857950).

Almost surely, 2130960901500 is an apocalyptic number.

130960901500 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 130960901500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170187544800).

130960901500 is an abundant number, since it is smaller than the sum of its proper divisors (209414188100).

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

130960901500 is a wasteful number, since it uses less digits than its factorization.

130960901500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The spelling of 130960901500 in words is "one hundred thirty billion, nine hundred sixty million, nine hundred one thousand, five hundred".