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10100110019 is a prime number
BaseRepresentation
bin10010110100000001…
…10111001011000011
3222001220010202020212
421122000313023003
5131141112010034
64350120224335
7505201342616
oct113200671303
928056122225
1010100110019
11431328116a
121b5a60b0ab
13c4c66c07c
146bb58217d
153e1a852ce
hex25a0372c3

10100110019 has 2 divisors, whose sum is σ = 10100110020. Its totient is φ = 10100110018.

The previous prime is 10100110001. The next prime is 10100110021. The reversal of 10100110019 is 91001100101.

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-10100110019 is a prime.

It is a super-2 number, since 2×101001100192 (a number of 21 digits) contains 22 as substring.

Together with 10100110021, 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 = 10100109985 and 10100110012.

It is not a weakly prime, because it can be changed into another prime (10100119019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050055009 + 5050055010.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055010).

Almost surely, 210100110019 is an apocalyptic number.

10100110019 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100110019 is an equidigital number, since it uses as much as digits as its factorization.

10100110019 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 10100110019 in words is "ten billion, one hundred million, one hundred ten thousand, nineteen".