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10010311225 = 5211331311321
BaseRepresentation
bin10010101001010100…
…10011101000111001
3221211122011111110121
421110222103220321
5131000114424400
64333151413241
7503031145555
oct112452235071
927748144417
1010010311225
114277617a92
121b34524221
13c36b8a8a5
146ad688865
153d8c4821a
hex254a93a39

10010311225 has 24 divisors (see below), whose sum is σ = 12563751672. Its totient is φ = 7911321600.

The previous prime is 10010311217. The next prime is 10010311231. The reversal of 10010311225 is 52211301001.

It can be written as a sum of positive squares in 12 ways, for example, as 9901046016 + 109265209 = 99504^2 + 10453^2 .

It is not a de Polignac number, because 10010311225 - 23 = 10010311217 is a prime.

It is a super-2 number, since 2×100103112252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010311199 and 10010311208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878565 + ... + 889885.

It is an arithmetic number, because the mean of its divisors is an integer number (523489653).

Almost surely, 210010311225 is an apocalyptic number.

It is an amenable number.

10010311225 is a deficient number, since it is larger than the sum of its proper divisors (2553440447).

10010311225 is a wasteful number, since it uses less digits than its factorization.

10010311225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11757 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10010311225 its reverse (52211301001), we get a palindrome (62221612226).

The spelling of 10010311225 in words is "ten billion, ten million, three hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 25 113 313 565 1565 2825 7825 11321 35369 56605 176845 283025 884225 1279273 3543473 6396365 17717365 31981825 88586825 400412449 2002062245 10010311225