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10225253153 = 73641218521
BaseRepresentation
bin10011000010111100…
…01111101100100001
3222101121121200100202
421201132033230201
5131420131100103
64410350354545
7511251134453
oct114136175441
928347550322
1010225253153
114377986045
121b944bba55
13c6c576c6b
146d003a2d3
153eca54988
hex26178fb21

10225253153 has 8 divisors (see below), whose sum is σ = 10381543176. Its totient is φ = 10069401600.

The previous prime is 10225253113. The next prime is 10225253167. The reversal of 10225253153 is 35135252201.

10225253153 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 4 ways, for example, as 806162449 + 9419090704 = 28393^2 + 97052^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10225253153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10225253113) 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 7 ways as a sum of consecutive naturals, for example, 62468 + ... + 156053.

It is an arithmetic number, because the mean of its divisors is an integer number (1297692897).

Almost surely, 210225253153 is an apocalyptic number.

It is an amenable number.

10225253153 is a deficient number, since it is larger than the sum of its proper divisors (156290023).

10225253153 is an equidigital number, since it uses as much as digits as its factorization.

10225253153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219235.

The product of its (nonzero) digits is 9000, while the sum is 29.

The spelling of 10225253153 in words is "ten billion, two hundred twenty-five million, two hundred fifty-three thousand, one hundred fifty-three".

Divisors: 1 73 641 46793 218521 15952033 140071961 10225253153