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10567083089 is a prime number
BaseRepresentation
bin10011101011101100…
…01110010001010001
31000021102211102212202
421311312032101101
5133120133124324
64504321132545
7522601503263
oct116566162121
930242742782
1010567083089
11453292aa22
12206aa8a155
13cc532c4b4
147235bbb33
1541ca778ae
hex275d8e451

10567083089 has 2 divisors, whose sum is σ = 10567083090. Its totient is φ = 10567083088.

The previous prime is 10567083061. The next prime is 10567083157. The reversal of 10567083089 is 98038076501.

It is a happy number.

10567083089 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., 9234249025 + 1332834064 = 96095^2 + 36508^2 .

It is a cyclic number.

It is not a de Polignac number, because 10567083089 - 212 = 10567078993 is a prime.

It is a super-2 number, since 2×105670830892 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10567083389) 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, 5283541544 + 5283541545.

It is an arithmetic number, because the mean of its divisors is an integer number (5283541545).

Almost surely, 210567083089 is an apocalyptic number.

It is an amenable number.

10567083089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10567083089 is an equidigital number, since it uses as much as digits as its factorization.

10567083089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 10567083089 in words is "ten billion, five hundred sixty-seven million, eighty-three thousand, eighty-nine".