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10200119976 = 2332141668333
BaseRepresentation
bin10010111111111100…
…10111101010101000
3222022212022210010100
421133332113222220
5131342212314401
64404051545400
7510524406054
oct113776275250
928285283110
1010200119976
11436477a122
121b87bbb260
13c672b7267
146ca976c64
153ea73cb86
hex25ff97aa8

10200119976 has 24 divisors (see below), whose sum is σ = 27625325130. Its totient is φ = 3400039968.

The previous prime is 10200119959. The next prime is 10200119977. The reversal of 10200119976 is 67991100201.

It can be written as a sum of positive squares in only one way, i.e., 10186057476 + 14062500 = 100926^2 + 3750^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10200119976.

It is not an unprimeable number, because it can be changed into a prime (10200119977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70834095 + ... + 70834238.

Almost surely, 210200119976 is an apocalyptic number.

It is an amenable number.

10200119976 is an abundant number, since it is smaller than the sum of its proper divisors (17425205154).

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

10200119976 is a wasteful number, since it uses less digits than its factorization.

10200119976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141668345 (or 141668338 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 10200119976 in words is "ten billion, two hundred million, one hundred nineteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 141668333 283336666 425004999 566673332 850009998 1133346664 1275014997 1700019996 2550029994 3400039992 5100059988 10200119976