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10218738100 = 2252102187381
BaseRepresentation
bin10011000010001010…
…11001000110110100
3222101011100200101111
421201011121012310
5131411444104400
64405555004404
7511141561234
oct114105310664
928334320344
1010218738100
1143742361aa
121b92299704
13c6b1056bc
146cd221cc4
153ec1b93ba
hex2611591b4

10218738100 has 18 divisors (see below), whose sum is σ = 22174661894. Its totient is φ = 4087495200.

The previous prime is 10218738043. The next prime is 10218738161. The reversal of 10218738100 is 183781201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 529092004 + 9689646096 = 23002^2 + 98436^2 .

It is a super-2 number, since 2×102187381002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51093591 + ... + 51093790.

Almost surely, 210218738100 is an apocalyptic number.

10218738100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10218738100 is an abundant number, since it is smaller than the sum of its proper divisors (11955923794).

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

10218738100 is a wasteful number, since it uses less digits than its factorization.

10218738100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102187395 (or 102187388 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 10218738100 in words is "ten billion, two hundred eighteen million, seven hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102187381 204374762 408749524 510936905 1021873810 2043747620 2554684525 5109369050 10218738100