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130430933136 = 24327293124643
BaseRepresentation
bin111100101111001001…
…0100001100010010000
3110110122221210220202100
41321132102201202100
54114110304330021
6135530311320400
712265125432120
oct1713622414220
9413587726670
10130430933136
1150351952619
1221341080100
13c3b8256a5a
146454802c80
1535d5ad7626
hex1e5e4a1890

130430933136 has 360 divisors, whose sum is σ = 446023506240. Its totient is φ = 34812771840.

The previous prime is 130430933131. The next prime is 130430933189. The reversal of 130430933136 is 631339034031.

130430933136 is a `hidden beast` number, since 1 + 3 + 0 + 430 + 93 + 3 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130430933136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130430933131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28089631 + ... + 28094273.

It is an arithmetic number, because the mean of its divisors is an integer number (1238954184).

Almost surely, 2130430933136 is an apocalyptic number.

130430933136 is a gapful number since it is divisible by the number (16) 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 130430933136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223011753120).

130430933136 is an abundant number, since it is smaller than the sum of its proper divisors (315592573104).

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

130430933136 is a wasteful number, since it uses less digits than its factorization.

130430933136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4755 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

Adding to 130430933136 its reverse (631339034031), we get a palindrome (761769967167).

The spelling of 130430933136 in words is "one hundred thirty billion, four hundred thirty million, nine hundred thirty-three thousand, one hundred thirty-six".