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10221373825 = 5213115327277
BaseRepresentation
bin10011000010011110…
…11100100110000001
3222101100022120220221
421201033130212001
5131413132430300
64410131303041
7511203146455
oct114117344601
928340276827
1010221373825
114375776493
121b9314aa81
13c6b8192c0
146cd70a665
153ec53a31a
hex2613dc981

10221373825 has 24 divisors (see below), whose sum is σ = 13661804408. Its totient is φ = 7541268480.

The previous prime is 10221373807. The next prime is 10221373837. The reversal of 10221373825 is 52837312201.

It can be written as a sum of positive squares in 12 ways, for example, as 4545860929 + 5675512896 = 67423^2 + 75336^2 .

It is not a de Polignac number, because 10221373825 - 25 = 10221373793 is a prime.

It is a Duffinian number.

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, 361087 + ... + 388363.

Almost surely, 210221373825 is an apocalyptic number.

It is an amenable number.

10221373825 is a deficient number, since it is larger than the sum of its proper divisors (3440430583).

10221373825 is a wasteful number, since it uses less digits than its factorization.

10221373825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28453 (or 28448 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 10221373825 in words is "ten billion, two hundred twenty-one million, three hundred seventy-three thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 1153 5765 14989 27277 28825 74945 136385 354601 374725 681925 1773005 8865025 31450381 157251905 408854953 786259525 2044274765 10221373825