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100009999960 = 23513192326923
BaseRepresentation
bin101110100100100001…
…1110111111001011000
3100120010212110101121121
41131021003313321120
53114310024444320
6113535521215024
710140224654623
oct1351103677130
9316125411547
10100009999960
1139461046232
1217471191474
13957a901290
144baa504dba
1529050628aa
hex17490f7e58

100009999960 has 32 divisors (see below), whose sum is σ = 242331924240. Its totient is φ = 36926769024.

The previous prime is 100009999951. The next prime is 100009999967. The reversal of 100009999960 is 69999900001.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 100009999898 and 100009999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100009999967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96162942 + ... + 96163981.

Almost surely, 2100009999960 is an apocalyptic number.

100009999960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100009999960 is an abundant number, since it is smaller than the sum of its proper divisors (142321924280).

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

100009999960 is a wasteful number, since it uses less digits than its factorization.

100009999960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192326947 (or 192326943 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 52.

The spelling of 100009999960 in words is "one hundred billion, nine million, nine hundred ninety-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 192326923 384653846 769307692 961634615 1538615384 1923269230 2500249999 3846538460 5000499998 7693076920 10000999996 12501249995 20001999992 25002499990 50004999980 100009999960