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10441039121 is a prime number
BaseRepresentation
bin10011011100101010…
…11001110100010001
3222221122122202001122
421232111121310101
5132340401222441
64444015412025
7516511240202
oct115625316421
928848582048
1010441039121
114478770257
122034824015
13ca519a576
1471096b5a9
1541197b34b
hex26e559d11

10441039121 has 2 divisors, whose sum is σ = 10441039122. Its totient is φ = 10441039120.

The previous prime is 10441039111. The next prime is 10441039127. The reversal of 10441039121 is 12193014401.

It is a happy number.

10441039121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6684697600 + 3756341521 = 81760^2 + 61289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10441039121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10441039127) 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, 5220519560 + 5220519561.

It is an arithmetic number, because the mean of its divisors is an integer number (5220519561).

Almost surely, 210441039121 is an apocalyptic number.

It is an amenable number.

10441039121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10441039121 is an equidigital number, since it uses as much as digits as its factorization.

10441039121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 10441039121 in words is "ten billion, four hundred forty-one million, thirty-nine thousand, one hundred twenty-one".