Search a number
-
+
10013837021 is a prime number
BaseRepresentation
bin10010101001101111…
…10000011011011101
3221211212210121221122
421110313300123131
5131002020241041
64333355140325
7503103132056
oct112467603335
927755717848
1010013837021
114279605a71
121b357446a5
13c37823666
146add2572d
153d91e2c4b
hex254df06dd

10013837021 has 2 divisors, whose sum is σ = 10013837022. Its totient is φ = 10013837020.

The previous prime is 10013836997. The next prime is 10013837137. The reversal of 10013837021 is 12073831001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9823783225 + 190053796 = 99115^2 + 13786^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10013837021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013837321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006918510 + 5006918511.

It is an arithmetic number, because the mean of its divisors is an integer number (5006918511).

Almost surely, 210013837021 is an apocalyptic number.

It is an amenable number.

10013837021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013837021 is an equidigital number, since it uses as much as digits as its factorization.

10013837021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 10013837021 in words is "ten billion, thirteen million, eight hundred thirty-seven thousand, twenty-one".