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10122130313 is a prime number
BaseRepresentation
bin10010110110101001…
…10111001110001001
3222010102120111102022
421123110313032021
5131212231132223
64352224214225
7505556455001
oct113324671611
928112514368
1010122130313
114324751359
121b65a6a375
13c540abc29
146c0475001
153e3984ac8
hex25b537389

10122130313 has 2 divisors, whose sum is σ = 10122130314. Its totient is φ = 10122130312.

The previous prime is 10122130301. The next prime is 10122130363. The reversal of 10122130313 is 31303122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8921369209 + 1200761104 = 94453^2 + 34652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122130313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122130291 and 10122130300.

It is not a weakly prime, because it can be changed into another prime (10122130363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061065156 + 5061065157.

It is an arithmetic number, because the mean of its divisors is an integer number (5061065157).

Almost surely, 210122130313 is an apocalyptic number.

It is an amenable number.

10122130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122130313 is an equidigital number, since it uses as much as digits as its factorization.

10122130313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10122130313 its reverse (31303122101), we get a palindrome (41425252414).

The spelling of 10122130313 in words is "ten billion, one hundred twenty-two million, one hundred thirty thousand, three hundred thirteen".