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10100001059 is a prime number
BaseRepresentation
bin10010110100000000…
…11100100100100011
3222001212221012210022
421122000130210203
5131141100013214
64350114024055
7505200410141
oct113200344443
928055835708
1010100001059
114313207315
121b5a57802b
13c4c6315b5
146bb554591
153e1a62d8e
hex25a01c923

10100001059 has 2 divisors, whose sum is σ = 10100001060. Its totient is φ = 10100001058.

The previous prime is 10100001001. The next prime is 10100001103. The reversal of 10100001059 is 95010000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100001059 is a prime.

It is a super-2 number, since 2×101000010592 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100001859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000529 + 5050000530.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000530).

Almost surely, 210100001059 is an apocalyptic number.

10100001059 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001059 is an equidigital number, since it uses as much as digits as its factorization.

10100001059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 17.

The spelling of 10100001059 in words is "ten billion, one hundred million, one thousand, fifty-nine".