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10100106179 is a prime number
BaseRepresentation
bin10010110100000001…
…10110001111000011
3222001220010112222122
421122000312033003
5131141111344204
64350120154455
7505201325462
oct113200661703
928056115878
1010100106179
114313279299
121b5a608a2b
13c4c66a3b7
146bb5809d9
153e1a840be
hex25a0363c3

10100106179 has 2 divisors, whose sum is σ = 10100106180. Its totient is φ = 10100106178.

The previous prime is 10100106131. The next prime is 10100106197. The reversal of 10100106179 is 97160100101.

Together with next prime (10100106197) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100106179 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100106199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050053089 + 5050053090.

It is an arithmetic number, because the mean of its divisors is an integer number (5050053090).

Almost surely, 210100106179 is an apocalyptic number.

10100106179 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100106179 is an equidigital number, since it uses as much as digits as its factorization.

10100106179 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 26.

The spelling of 10100106179 in words is "ten billion, one hundred million, one hundred six thousand, one hundred seventy-nine".