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100909190960 = 2452371531997
BaseRepresentation
bin101110111111010101…
…0000000111100110000
3100122110112110000202222
41131332222000330300
53123130223102320
6114205042100212
710201423654004
oct1357652007460
9318415400688
10100909190960
1139882675796
121768234a668
139691ca3666
144c53ad0704
152958e7e825
hex177ea80f30

100909190960 has 40 divisors (see below), whose sum is σ = 234713261616. Its totient is φ = 40346576640.

The previous prime is 100909190959. The next prime is 100909191011. The reversal of 100909190960 is 69091909001.

It is a happy number.

100909190960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76319 + ... + 455678.

Almost surely, 2100909190960 is an apocalyptic number.

100909190960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100909190960 is an abundant number, since it is smaller than the sum of its proper divisors (133804070656).

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

100909190960 is a wasteful number, since it uses less digits than its factorization.

100909190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534381 (or 534375 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 44.

The spelling of 100909190960 in words is "one hundred billion, nine hundred nine million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2371 4742 9484 11855 18968 23710 37936 47420 94840 189680 531997 1063994 2127988 2659985 4255976 5319970 8511952 10639940 21279880 42559760 1261364887 2522729774 5045459548 6306824435 10090919096 12613648870 20181838192 25227297740 50454595480 100909190960