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10010000313 = 3237116325847
BaseRepresentation
bin10010101001010010…
…00111101110111001
3221211121120200222100
421110221013232321
5131000030002223
64333141014013
7503025412245
oct112451075671
927747520870
1010010000313
114277425435
121b343b4309
13c36aac211
146ad607425
153d8bd6043
hex254a47bb9

10010000313 has 24 divisors (see below), whose sum is σ = 14863013568. Its totient is φ = 6487139232.

The previous prime is 10010000281. The next prime is 10010000323. The reversal of 10010000313 is 31300001001.

It is not a de Polignac number, because 10010000313 - 25 = 10010000281 is a prime.

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 = 10010000295 and 10010000304.

It is not an unprimeable number, because it can be changed into a prime (10010000323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374356 + ... + 400202.

It is an arithmetic number, because the mean of its divisors is an integer number (619292232).

Almost surely, 210010000313 is an apocalyptic number.

It is an amenable number.

10010000313 is a deficient number, since it is larger than the sum of its proper divisors (4853013255).

10010000313 is a wasteful number, since it uses less digits than its factorization.

10010000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27053 (or 27050 counting only the distinct ones).

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

Adding to 10010000313 its reverse (31300001001), we get a palindrome (41310001314).

The spelling of 10010000313 in words is "ten billion, ten million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 37 111 333 1163 3489 10467 25847 43031 77541 129093 232623 387279 956339 2869017 8607051 30060061 90180183 270540549 1112222257 3336666771 10010000313