Search a number
-
+
10021997353 is a prime number
BaseRepresentation
bin10010101010101101…
…11000101100101001
3221212110011012211011
421111112320230221
5131011112403403
64334250103521
7503232400114
oct112526705451
927773135734
1010021997353
114283179a45
121b3841aba1
13c3941ca64
146b104b57b
153d9ca5a6d
hex2555b8b29

10021997353 has 2 divisors, whose sum is σ = 10021997354. Its totient is φ = 10021997352.

The previous prime is 10021997339. The next prime is 10021997357. The reversal of 10021997353 is 35379912001.

10021997353 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 can be written as a sum of positive squares in only one way, i.e., 6871083664 + 3150913689 = 82892^2 + 56133^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021997353 - 233 = 1432062761 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021997357) 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, 5010998676 + 5010998677.

It is an arithmetic number, because the mean of its divisors is an integer number (5010998677).

Almost surely, 210021997353 is an apocalyptic number.

It is an amenable number.

10021997353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021997353 is an equidigital number, since it uses as much as digits as its factorization.

10021997353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 40.

The spelling of 10021997353 in words is "ten billion, twenty-one million, nine hundred ninety-seven thousand, three hundred fifty-three".