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10109879933 is a prime number
BaseRepresentation
bin10010110101001100…
…01000011001111101
3222002120112010001112
421122212020121331
5131201112124213
64351105451405
7505350363416
oct113246103175
928076463045
1010109879933
11431884447a
121b61940b65
13c516acc9a
146bc9a680d
153e2864ea8
hex25a98867d

10109879933 has 2 divisors, whose sum is σ = 10109879934. Its totient is φ = 10109879932.

The previous prime is 10109879887. The next prime is 10109879939. The reversal of 10109879933 is 33997890101.

It is a happy number.

10109879933 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8844085849 + 1265794084 = 94043^2 + 35578^2 .

It is a cyclic number.

It is not a de Polignac number, because 10109879933 - 214 = 10109863549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10109879939) 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, 5054939966 + 5054939967.

It is an arithmetic number, because the mean of its divisors is an integer number (5054939967).

Almost surely, 210109879933 is an apocalyptic number.

It is an amenable number.

10109879933 is a deficient number, since it is larger than the sum of its proper divisors (1).

10109879933 is an equidigital number, since it uses as much as digits as its factorization.

10109879933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 367416, while the sum is 50.

The spelling of 10109879933 in words is "ten billion, one hundred nine million, eight hundred seventy-nine thousand, nine hundred thirty-three".