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10225262021 = 13337125789
BaseRepresentation
bin10011000010111100…
…10001110111000101
3222101121122010112012
421201132101313011
5131420131341041
64410350504005
7511251202352
oct114136216705
928347563465
1010225262021
114377991777
121b94505005
13c6c57b000
146d003d629
153eca573eb
hex261791dc5

10225262021 has 16 divisors (see below), whose sum is σ = 11376447600. Its totient is φ = 9183530304.

The previous prime is 10225262011. The next prime is 10225262027. The reversal of 10225262021 is 12026252201.

10225262021 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 8 ways, for example, as 4958131396 + 5267130625 = 70414^2 + 72575^2 .

It is not a de Polignac number, because 10225262021 - 230 = 9151520197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225262027) 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 15 ways as a sum of consecutive naturals, for example, 18395 + ... + 144183.

It is an arithmetic number, because the mean of its divisors is an integer number (711027975).

Almost surely, 210225262021 is an apocalyptic number.

It is an amenable number.

10225262021 is a deficient number, since it is larger than the sum of its proper divisors (1151185579).

10225262021 is an equidigital number, since it uses as much as digits as its factorization.

10225262021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125865 (or 125839 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 10225262021 in words is "ten billion, two hundred twenty-five million, two hundred sixty-two thousand, twenty-one".

Divisors: 1 13 37 169 481 2197 6253 81289 125789 1635257 4654193 21258341 60504509 276358433 786558617 10225262021