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10051444225 = 521729815533
BaseRepresentation
bin10010101110001110…
…01101111000000001
3221221111120021100001
421113013031320001
5131041132203400
64341221200001
7504040603054
oct112707157001
927844507301
1010051444225
1142988618a9
121b46260001
13c42560044
146b4d14a9b
153dc670a6a
hex2571cde01

10051444225 has 24 divisors (see below), whose sum is σ = 13652039160. Its totient is φ = 7307166720.

The previous prime is 10051444189. The next prime is 10051444229. The reversal of 10051444225 is 52244415001.

It can be written as a sum of positive squares in 12 ways, for example, as 3869710849 + 6181733376 = 62207^2 + 78624^2 .

It is a de Polignac number, because none of the positive numbers 2k-10051444225 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10051444193 and 10051444202.

It is not an unprimeable number, because it can be changed into a prime (10051444229) 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, 395442 + ... + 420091.

It is an arithmetic number, because the mean of its divisors is an integer number (568834965).

Almost surely, 210051444225 is an apocalyptic number.

It is an amenable number.

10051444225 is a deficient number, since it is larger than the sum of its proper divisors (3600594935).

10051444225 is a wasteful number, since it uses less digits than its factorization.

10051444225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815589 (or 815584 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 10051444225 its reverse (52244415001), we get a palindrome (62295859226).

It can be divided in two parts, 10051 and 444225, that added together give a square (454276 = 6742).

The spelling of 10051444225 in words is "ten billion, fifty-one million, four hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 425 493 725 2465 12325 815533 4077665 13864061 20388325 23650457 69320305 118252285 346601525 402057769 591261425 2010288845 10051444225