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10083007169 is a prime number
BaseRepresentation
bin10010110001111111…
…00111101011000001
3222000200221211112222
421120333213223001
5131122222212134
64344305500425
7504603101234
oct113077475301
928020854488
1010083007169
11430465a584
121b54941715
13c48c61541
146b91ad41b
153e0307a2e
hex258fe7ac1

10083007169 has 2 divisors, whose sum is σ = 10083007170. Its totient is φ = 10083007168.

The previous prime is 10083007147. The next prime is 10083007183. The reversal of 10083007169 is 96170038001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9702250000 + 380757169 = 98500^2 + 19513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10083007169 is a prime.

It is a super-2 number, since 2×100830071692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10083007199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041503584 + 5041503585.

It is an arithmetic number, because the mean of its divisors is an integer number (5041503585).

Almost surely, 210083007169 is an apocalyptic number.

It is an amenable number.

10083007169 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083007169 is an equidigital number, since it uses as much as digits as its factorization.

10083007169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 10083007169 in words is "ten billion, eighty-three million, seven thousand, one hundred sixty-nine".