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10253235201 = 3112131215617
BaseRepresentation
bin10011000110010001…
…11111010000000001
3222110120021022111220
421203020333100001
5131444312011301
64413230225253
7512041026666
oct114310772001
928416238456
1010253235201
114391758400
121ba1955229
13c752c35a1
146d3a41a6d
15400230936
hex26323f401

10253235201 has 24 divisors (see below), whose sum is σ = 15141558432. Its totient is φ = 6166617600.

The previous prime is 10253235193. The next prime is 10253235217.

It is a happy number.

10253235201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10253235201 - 23 = 10253235193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10253235401) 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, 60256 + ... + 155361.

It is an arithmetic number, because the mean of its divisors is an integer number (630898268).

Almost surely, 210253235201 is an apocalyptic number.

10253235201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10253235201 is a deficient number, since it is larger than the sum of its proper divisors (4888323231).

10253235201 is a wasteful number, since it uses less digits than its factorization.

10253235201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215773 (or 215762 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 10253235201 in words is "ten billion, two hundred fifty-three million, two hundred thirty-five thousand, two hundred one".

Divisors: 1 3 11 33 121 131 363 393 1441 4323 15851 47553 215617 646851 2371787 7115361 26089657 28245827 78268971 84737481 310704097 932112291 3417745067 10253235201