Search a number
-
+
10024102313 is a prime number
BaseRepresentation
bin10010101010111101…
…11010100110101001
3221212121010011021122
421111132322212221
5131012132233223
64334403145025
7503256315041
oct112536724651
927777104248
1010024102313
114284387485
121b39075175
13c399a8bb4
146b1438721
153da06e5c8
hex2557ba9a9

10024102313 has 2 divisors, whose sum is σ = 10024102314. Its totient is φ = 10024102312.

The previous prime is 10024102267. The next prime is 10024102321. The reversal of 10024102313 is 31320142001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9164615824 + 859486489 = 95732^2 + 29317^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10024102313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10024102291 and 10024102300.

It is not a weakly prime, because it can be changed into another prime (10024102373) 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, 5012051156 + 5012051157.

It is an arithmetic number, because the mean of its divisors is an integer number (5012051157).

Almost surely, 210024102313 is an apocalyptic number.

It is an amenable number.

10024102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024102313 is an equidigital number, since it uses as much as digits as its factorization.

10024102313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10024102313 its reverse (31320142001), we get a palindrome (41344244314).

The spelling of 10024102313 in words is "ten billion, twenty-four million, one hundred two thousand, three hundred thirteen".