Search a number
-
+
10122434317 is a prime number
BaseRepresentation
bin10010110110101100…
…00001011100001101
3222010110010221102201
421123112001130031
5131212320344232
64352234521501
7505562162212
oct113326013415
928113127381
1010122434317
1143249397a6
121b65b96291
13c54187408
146c0513b09
153e39e4be7
hex25b58170d

10122434317 has 2 divisors, whose sum is σ = 10122434318. Its totient is φ = 10122434316.

The previous prime is 10122434299. The next prime is 10122434341. The reversal of 10122434317 is 71343422101.

10122434317 is digitally balanced in base 3, 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., 5495849956 + 4626584361 = 74134^2 + 68019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122434317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122434347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061217158 + 5061217159.

It is an arithmetic number, because the mean of its divisors is an integer number (5061217159).

Almost surely, 210122434317 is an apocalyptic number.

It is an amenable number.

10122434317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122434317 is an equidigital number, since it uses as much as digits as its factorization.

10122434317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 10122434317 its reverse (71343422101), we get a palindrome (81465856418).

The spelling of 10122434317 in words is "ten billion, one hundred twenty-two million, four hundred thirty-four thousand, three hundred seventeen".