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10217476900 = 2252102174769
BaseRepresentation
bin10011000010000001…
…00101001100100100
3222101001222121100101
421201000211030210
5131411133230100
64405511553444
7511125056251
oct114100451444
928331877311
1010217476900
114373554694
121b9198b884
13c6aa83627
146ccdb4428
153ec01a86a
hex261025324

10217476900 has 18 divisors (see below), whose sum is σ = 22171925090. Its totient is φ = 4086990720.

The previous prime is 10217476891. The next prime is 10217476903. The reversal of 10217476900 is 967471201.

It can be written as a sum of positive squares in 3 ways, for example, as 286557184 + 9930919716 = 16928^2 + 99654^2 .

It is a super-2 number, since 2×102174769002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10217476900.

It is not an unprimeable number, because it can be changed into a prime (10217476903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51087285 + ... + 51087484.

Almost surely, 210217476900 is an apocalyptic number.

10217476900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10217476900 is an abundant number, since it is smaller than the sum of its proper divisors (11954448190).

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

10217476900 is a wasteful number, since it uses less digits than its factorization.

10217476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102174783 (or 102174776 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 10217476900 in words is "ten billion, two hundred seventeen million, four hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102174769 204349538 408699076 510873845 1021747690 2043495380 2554369225 5108738450 10217476900