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130351818912 = 25371967152377
BaseRepresentation
bin111100101100110010…
…0101110100010100000
3110110110102221111102220
41321121210232202200
54113430031201122
6135514403511040
712263145115320
oct1713144564240
9413412844386
10130351818912
1150311226967
122131a688480
13c3a4a468c3
1464480cb280
1535cdbab25c
hex1e5992e8a0

130351818912 has 192 divisors, whose sum is σ = 417783905280. Its totient is φ = 34756356096.

The previous prime is 130351818851. The next prime is 130351818913. The reversal of 130351818912 is 219818153031.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (130351818913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779268 + ... + 931644.

It is an arithmetic number, because the mean of its divisors is an integer number (2175957840).

Almost surely, 2130351818912 is an apocalyptic number.

130351818912 is a gapful number since it is divisible by the number (12) 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 130351818912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208891952640).

130351818912 is an abundant number, since it is smaller than the sum of its proper divisors (287432086368).

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

130351818912 is a wasteful number, since it uses less digits than its factorization.

130351818912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152483 (or 152475 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 130351818912 in words is "one hundred thirty billion, three hundred fifty-one million, eight hundred eighteen thousand, nine hundred twelve".