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100331648680 = 2352508291217
BaseRepresentation
bin101110101110000111…
…0110111011010101000
3100120222021200211201011
41131130032313122220
53120434400224210
6114031451233304
710151211641164
oct1353416673250
9316867624634
10100331648680
113960666671a
1217540a48834
1395cc43ba73
144bdb111ca4
1529233ead8a
hex175c3b76a8

100331648680 has 16 divisors (see below), whose sum is σ = 225746209620. Its totient is φ = 40132659456.

The previous prime is 100331648657. The next prime is 100331648689. The reversal of 100331648680 is 86846133001.

It is a happy number.

100331648680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100133007844 + 198640836 = 316438^2 + 14094^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2508291217 = 100331648680 / (1 + 0 + 0 + 3 + 3 + 1 + 6 + 4 + 8 + 6 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (100331648689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1254145569 + ... + 1254145648.

Almost surely, 2100331648680 is an apocalyptic number.

100331648680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331648680 is an abundant number, since it is smaller than the sum of its proper divisors (125414560940).

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

100331648680 is a wasteful number, since it uses less digits than its factorization.

100331648680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508291228 (or 2508291224 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 100331648680 in words is "one hundred billion, three hundred thirty-one million, six hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 2508291217 5016582434 10033164868 12541456085 20066329736 25082912170 50165824340 100331648680