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10202210253 = 34125953213
BaseRepresentation
bin10011000000001100…
…10101111111001101
3222100000020222110000
421200012111333031
5131343231212003
64404204434513
7510551233134
oct114006257715
928300228400
1010202210253
114365977624
121b88848a39
13c67869801
146cad5c91b
153eaa021a3
hex260195fcd

10202210253 has 10 divisors (see below), whose sum is σ = 15240338894. Its totient is φ = 6801473448.

The previous prime is 10202210251. The next prime is 10202210269. The reversal of 10202210253 is 35201220201.

10202210253 is a `hidden beast` number, since 1 + 0 + 202 + 210 + 253 = 666.

10202210253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10157011524 + 45198729 = 100782^2 + 6723^2 .

It is not a de Polignac number, because 10202210253 - 21 = 10202210251 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202210251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62976526 + ... + 62976687.

Almost surely, 210202210253 is an apocalyptic number.

It is an amenable number.

10202210253 is a deficient number, since it is larger than the sum of its proper divisors (5038128641).

10202210253 is an equidigital number, since it uses as much as digits as its factorization.

10202210253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125953225 (or 125953216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10202210253 its reverse (35201220201), we get a palindrome (45403430454).

The spelling of 10202210253 in words is "ten billion, two hundred two million, two hundred ten thousand, two hundred fifty-three".

Divisors: 1 3 9 27 81 125953213 377859639 1133578917 3400736751 10202210253