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10000100011019 is a prime number
BaseRepresentation
bin1001000110000101010001…
…1010001010110000001011
31022102000000011102100011012
42101201110122022300023
52302320201100323034
633133552120354135
72051324541413516
oct221412432126013
938360004370135
1010000100011019
113206022832858
12115610531594b
1357700baa4041
14268016523d7d
151251d3aeacce
hex9185468ac0b

10000100011019 has 2 divisors, whose sum is σ = 10000100011020. Its totient is φ = 10000100011018.

The previous prime is 10000100011007. The next prime is 10000100011021. The reversal of 10000100011019 is 91011000100001.

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-10000100011019 is a prime.

It is a super-2 number, since 2×100001000110192 (a number of 27 digits) contains 22 as substring.

Together with 10000100011021, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000100010994 and 10000100011012.

It is not a weakly prime, because it can be changed into another prime (10000100011219) 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, 5000050005509 + 5000050005510.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050005510).

Almost surely, 210000100011019 is an apocalyptic number.

10000100011019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000100011019 is an equidigital number, since it uses as much as digits as its factorization.

10000100011019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10000100011019 in words is "ten trillion, one hundred million, eleven thousand, nineteen".