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10123110817 is a prime number
BaseRepresentation
bin10010110110110001…
…00110100110100001
3222010111102022102021
421123120212212201
5131213004021232
64352301221441
7505601010421
oct113330464641
928114368367
1010123110817
114325260a96
121b66261881
13c54363301
146c064c481
153e3aca397
hex25b6269a1

10123110817 has 2 divisors, whose sum is σ = 10123110818. Its totient is φ = 10123110816.

The previous prime is 10123110737. The next prime is 10123110847. The reversal of 10123110817 is 71801132101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7875497536 + 2247613281 = 88744^2 + 47409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123110817 is a prime.

It is a super-2 number, since 2×101231108172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10123110791 and 10123110800.

It is not a weakly prime, because it can be changed into another prime (10123110847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061555408 + 5061555409.

It is an arithmetic number, because the mean of its divisors is an integer number (5061555409).

Almost surely, 210123110817 is an apocalyptic number.

It is an amenable number.

10123110817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123110817 is an equidigital number, since it uses as much as digits as its factorization.

10123110817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 25.

Adding to 10123110817 its reverse (71801132101), we get a palindrome (81924242918).

The spelling of 10123110817 in words is "ten billion, one hundred twenty-three million, one hundred ten thousand, eight hundred seventeen".