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34402000117 is a prime number
BaseRepresentation
bin100000000010100001…
…001101110011110101
310021210112102200022111
4200002201031303311
51030423403000432
623445402131021
72325341114302
oct400241156365
9107715380274
1034402000117
1113654039961
1268011b0a71
1333233785b4
141944d240a9
15d6530a347
hex80284dcf5

34402000117 has 2 divisors, whose sum is σ = 34402000118. Its totient is φ = 34402000116.

The previous prime is 34402000111. The next prime is 34402000133. The reversal of 34402000117 is 71100020443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34375384836 + 26615281 = 185406^2 + 5159^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34402000117 is a prime.

It is a super-2 number, since 2×344020001172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34402000111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17201000058 + 17201000059.

It is an arithmetic number, because the mean of its divisors is an integer number (17201000059).

Almost surely, 234402000117 is an apocalyptic number.

It is an amenable number.

34402000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

34402000117 is an equidigital number, since it uses as much as digits as its factorization.

34402000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The spelling of 34402000117 in words is "thirty-four billion, four hundred two million, one hundred seventeen", and thus it is an aban number.