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10254443225 = 5213731572753
BaseRepresentation
bin10011000110011011…
…00110001011011001
3222110122112200121112
421203031212023121
5132000114140400
64413312150105
7512054220635
oct114315461331
928418480545
1010254443225
114392402a74
121ba2238335
13c756273b0
146d3c77dc5
154003bd835
hex2633662d9

10254443225 has 48 divisors (see below), whose sum is σ = 13974699312. Its totient is φ = 7418511360.

The previous prime is 10254443209. The next prime is 10254443321. The reversal of 10254443225 is 52234445201.

10254443225 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 24 ways, for example, as 6652522969 + 3601920256 = 81563^2 + 60016^2 .

It is not a de Polignac number, because 10254443225 - 24 = 10254443209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10254443191 and 10254443200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3723449 + ... + 3726201.

It is an arithmetic number, because the mean of its divisors is an integer number (291139569).

Almost surely, 210254443225 is an apocalyptic number.

It is an amenable number.

10254443225 is a deficient number, since it is larger than the sum of its proper divisors (3720256087).

10254443225 is a wasteful number, since it uses less digits than its factorization.

10254443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 10254443225 its reverse (52234445201), we get a palindrome (62488888426).

The spelling of 10254443225 in words is "ten billion, two hundred fifty-four million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 73 157 325 365 785 949 1825 2041 2753 3925 4745 10205 11461 13765 23725 35789 51025 57305 68825 148993 178945 200969 286525 432221 744965 894725 1004845 2161105 2612597 3724825 5024225 5618873 10805525 13062985 28094365 31552133 65314925 140471825 157760665 410177729 788803325 2050888645 10254443225