Search a number
-
+
10091012117 is a prime number
BaseRepresentation
bin10010110010111100…
…01010000000010101
3222001021000112021112
421121132022000111
5131131244341432
64345153224405
7505031121254
oct113136120025
928037015245
1010091012117
11430912783a
121b57562105
13c4a804cb4
146ba29479b
153e0d897b2
hex25978a015

10091012117 has 2 divisors, whose sum is σ = 10091012118. Its totient is φ = 10091012116.

The previous prime is 10091012093. The next prime is 10091012123. The reversal of 10091012117 is 71121019001.

It is a happy number.

10091012117 is digitally balanced in base 3, 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., 5533276996 + 4557735121 = 74386^2 + 67511^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091012117 - 26 = 10091012053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10091012092 and 10091012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10091012417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045506058 + 5045506059.

It is an arithmetic number, because the mean of its divisors is an integer number (5045506059).

Almost surely, 210091012117 is an apocalyptic number.

It is an amenable number.

10091012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091012117 is an equidigital number, since it uses as much as digits as its factorization.

10091012117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 23.

The spelling of 10091012117 in words is "ten billion, ninety-one million, twelve thousand, one hundred seventeen".