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130502625120 = 253557268501
BaseRepresentation
bin111100110001010010…
…0000000011101100000
3110110211221201020200000
41321202210000131200
54114232133000440
6135541352100000
712266656003500
oct1714244003540
9413757636600
10130502625120
115038936989a
1221361094600
13c3ca06874a
146460145a00
1535dc049730
hex1e62900760

130502625120 has 432 divisors, whose sum is σ = 537243649488. Its totient is φ = 29828736000.

The previous prime is 130502625101. The next prime is 130502625139. The reversal of 130502625120 is 21526205031.

It is a happy number.

130502625120 is a `hidden beast` number, since 1 + 30 + 5 + 0 + 2 + 625 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130502625101) and next prime (130502625139).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1305026251202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1870870 + ... + 1939370.

It is an arithmetic number, because the mean of its divisors is an integer number (1243619559).

Almost surely, 2130502625120 is an apocalyptic number.

130502625120 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 130502625120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268621824744).

130502625120 is an abundant number, since it is smaller than the sum of its proper divisors (406741024368).

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

130502625120 is an equidigital number, since it uses as much as digits as its factorization.

130502625120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68545 (or 68518 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 130502625120 in words is "one hundred thirty billion, five hundred two million, six hundred twenty-five thousand, one hundred twenty".