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10544544121 is a prime number
BaseRepresentation
bin10011101001000000…
…01111100101111001
31000012212102100020011
421310200033211321
5133043400402441
64502154101521
7522206101066
oct116440174571
930185370204
1010544544121
114521136081
12206341a8a1
13cc076a527
147205d1c6d
1541aac4581
hex27480f979

10544544121 has 2 divisors, whose sum is σ = 10544544122. Its totient is φ = 10544544120.

The previous prime is 10544544107. The next prime is 10544544137. The reversal of 10544544121 is 12144544501.

10544544121 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., 7457186025 + 3087358096 = 86355^2 + 55564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10544544121 - 227 = 10410326393 is a prime.

It is a super-2 number, since 2×105445441212 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10544544221) 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, 5272272060 + 5272272061.

It is an arithmetic number, because the mean of its divisors is an integer number (5272272061).

Almost surely, 210544544121 is an apocalyptic number.

It is an amenable number.

10544544121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10544544121 is an equidigital number, since it uses as much as digits as its factorization.

10544544121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 10544544121 in words is "ten billion, five hundred forty-four million, five hundred forty-four thousand, one hundred twenty-one".