Search a number
-
+
102376872000 = 263553134051
BaseRepresentation
bin101111101011000100…
…0110001100001000000
3100210020211010221200000
41133112020301201000
53134131434401000
6115010431400000
710252665024324
oct1372610614100
9323224127600
10102376872000
113a466091227
1217a11983000
13986708b290
144d529bd984
1529e2c43000
hex17d6231840

102376872000 has 672 divisors, whose sum is σ = 409097829504. Its totient is φ = 25194240000.

The previous prime is 102376871983. The next prime is 102376872011. The reversal of 102376872000 is 278673201.

102376872000 is a `hidden beast` number, since 1 + 0 + 2 + 376 + 87 + 200 + 0 = 666.

It is a super-3 number, since 3×1023768720003 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25269975 + ... + 25274025.

It is an arithmetic number, because the mean of its divisors is an integer number (608776532).

Almost surely, 2102376872000 is an apocalyptic number.

102376872000 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 102376872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204548914752).

102376872000 is an abundant number, since it is smaller than the sum of its proper divisors (306720957504).

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

102376872000 is an equidigital number, since it uses as much as digits as its factorization.

102376872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 102376872000 in words is "one hundred two billion, three hundred seventy-six million, eight hundred seventy-two thousand".