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130034604700 = 2252711133114177
BaseRepresentation
bin111100100011010101…
…0101001101010011100
3110102122100001100100101
41321012222221222130
54112302324322300
6135423112510444
712252243621460
oct1710652515234
9412570040311
10130034604700
1150169165160
12212503ab424
13c3540cc6a0
146417d164a0
1535b0debb6a
hex1e46aa9a9c

130034604700 has 288 divisors, whose sum is σ = 380173667328. Its totient is φ = 37283328000.

The previous prime is 130034604673. The next prime is 130034604701. The reversal of 130034604700 is 7406430031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130034604701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31129012 + ... + 31133188.

It is an arithmetic number, because the mean of its divisors is an integer number (1320047456).

Almost surely, 2130034604700 is an apocalyptic number.

130034604700 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 130034604700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190086833664).

130034604700 is an abundant number, since it is smaller than the sum of its proper divisors (250139062628).

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

130034604700 is a wasteful number, since it uses less digits than its factorization.

130034604700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 130034604700 in words is "one hundred thirty billion, thirty-four million, six hundred four thousand, seven hundred".