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10000113210 = 23252937103553
BaseRepresentation
bin10010101000000110…
…11001111000111010
3221210220222101102100
421110003121320322
5130440012110320
64332145044230
7502545363003
oct112403317072
927726871370
1010000113210
11427189207a
121b31026676
13c34a29b69
146ac1921aa
153d7dd1790
hex2540d9e3a

10000113210 has 96 divisors (see below), whose sum is σ = 27624065040. Its totient is φ = 2505129984.

The previous prime is 10000113209. The next prime is 10000113229. The reversal of 10000113210 is 1231100001.

It can be written as a sum of positive squares in 8 ways, for example, as 3014998281 + 6985114929 = 54909^2 + 83577^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000113192 and 10000113201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44794 + ... + 148346.

Almost surely, 210000113210 is an apocalyptic number.

10000113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812032520).

10000113210 is an abundant number, since it is smaller than the sum of its proper divisors (17623951830).

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

10000113210 is a wasteful number, since it uses less digits than its factorization.

10000113210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103632 (or 103629 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10000113210 its reverse (1231100001), we get a palindrome (11231213211).

The spelling of 10000113210 in words is "ten billion, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 37 45 58 74 87 90 111 145 174 185 222 261 290 333 370 435 522 555 666 870 1073 1110 1305 1665 2146 2610 3219 3330 5365 6438 9657 10730 16095 19314 32190 48285 96570 103553 207106 310659 517765 621318 931977 1035530 1553295 1863954 3003037 3106590 3831461 4659885 6006074 7662922 9009111 9319770 11494383 15015185 18018222 19157305 22988766 27027333 30030370 34483149 38314610 45045555 54054666 57471915 68966298 90091110 111112369 114943830 135136665 172415745 222224738 270273330 333337107 344831490 555561845 666674214 1000011321 1111123690 1666685535 2000022642 3333371070 5000056605 10000113210