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10044013121 is a prime number
BaseRepresentation
bin10010101101010101…
…10111101001000001
3221220222120201202222
421112222313221001
5131032231404441
64340354020425
7503620463042
oct112652675101
927828521688
1010044013121
11429464679a
121b43877715
13c40b5a83c
146b3d3c8c9
153dbba3d4b
hex256ab7a41

10044013121 has 2 divisors, whose sum is σ = 10044013122. Its totient is φ = 10044013120.

The previous prime is 10044013099. The next prime is 10044013157. The reversal of 10044013121 is 12131044001.

It is a happy number.

10044013121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7896988225 + 2147024896 = 88865^2 + 46336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10044013121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10044013121.

It is not a weakly prime, because it can be changed into another prime (10044016121) 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 as a sum of consecutive naturals, namely, 5022006560 + 5022006561.

It is an arithmetic number, because the mean of its divisors is an integer number (5022006561).

Almost surely, 210044013121 is an apocalyptic number.

It is an amenable number.

10044013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044013121 is an equidigital number, since it uses as much as digits as its factorization.

10044013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10044013121 its reverse (12131044001), we get a palindrome (22175057122).

The spelling of 10044013121 in words is "ten billion, forty-four million, thirteen thousand, one hundred twenty-one".