Search a number
-
+
10100010929 is a prime number
BaseRepresentation
bin10010110100000000…
…11110111110110001
3222001212221201022212
421122000132332301
5131141100322204
64350114141505
7505200451001
oct113200367661
928055851285
1010100010929
114313213778
121b5a581895
13c4c635c38
146bb558001
153e1a65c6e
hex25a01efb1

10100010929 has 2 divisors, whose sum is σ = 10100010930. Its totient is φ = 10100010928.

The previous prime is 10100010901. The next prime is 10100010961. The reversal of 10100010929 is 92901000101.

10100010929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6845080225 + 3254930704 = 82735^2 + 57052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10100010929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100010979) 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, 5050005464 + 5050005465.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005465).

Almost surely, 210100010929 is an apocalyptic number.

It is an amenable number.

10100010929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010929 is an equidigital number, since it uses as much as digits as its factorization.

10100010929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 10100010929 in words is "ten billion, one hundred million, ten thousand, nine hundred twenty-nine".