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992393000100 = 223352367552963
BaseRepresentation
bin11100111000011110011…
…10110111010010100100
310111212112120111210101000
432130033032313102210
5112224410102000400
62035522110033300
7131461265214525
oct16341716672244
93455476453330
10992393000100
11352964a82317
121403ba4a8830
13727752b5b78
143606404084c
151ac339ea600
hexe70f3b74a4

992393000100 has 72 divisors (see below), whose sum is σ = 3190359727520. Its totient is φ = 264638132640.

The previous prime is 992393000077. The next prime is 992393000143. The reversal of 992393000100 is 1000393299.

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 23 ways as a sum of consecutive naturals, for example, 183773782 + ... + 183779181.

Almost surely, 2992393000100 is an apocalyptic number.

992393000100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

992393000100 is an abundant number, since it is smaller than the sum of its proper divisors (2197966727420).

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

992393000100 is a wasteful number, since it uses less digits than its factorization.

992393000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367552986 (or 367552973 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

Adding to 992393000100 its reverse (1000393299), we get a palindrome (993393393399).

The spelling of 992393000100 in words is "nine hundred ninety-two billion, three hundred ninety-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 367552963 735105926 1102658889 1470211852 1837764815 2205317778 3307976667 3675529630 4410635556 5513294445 6615953334 7351059260 9188824075 9923930001 11026588890 13231906668 16539883335 18377648150 19847860002 22053177780 27566472225 33079766670 36755296300 39695720004 49619650005 55132944450 66159533340 82699416675 99239300010 110265888900 165398833350 198478600020 248098250025 330797666700 496196500050 992393000100