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10013121119 is a prime number
BaseRepresentation
bin10010101001101010…
…00001101001011111
3221211211110020220202
421110311001221133
5131001324333434
64333331534115
7503064060641
oct112465015137
927754406822
1010013121119
114279167111
121b3545a33b
13c37632851
146adbba891
153d9100a7e
hex254d41a5f

10013121119 has 2 divisors, whose sum is σ = 10013121120. Its totient is φ = 10013121118.

The previous prime is 10013121067. The next prime is 10013121121. The reversal of 10013121119 is 91112131001.

It is a happy number.

10013121119 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10013121119 - 232 = 5718153823 is a prime.

It is a super-2 number, since 2×100131211192 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 10013121121, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10013121119.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013121919) 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, 5006560559 + 5006560560.

It is an arithmetic number, because the mean of its divisors is an integer number (5006560560).

Almost surely, 210013121119 is an apocalyptic number.

10013121119 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013121119 is an equidigital number, since it uses as much as digits as its factorization.

10013121119 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 10013121119 in words is "ten billion, thirteen million, one hundred twenty-one thousand, one hundred nineteen".