Search a number
-
+
10123078331 is a prime number
BaseRepresentation
bin10010110110110000…
…11110101010111011
3222010111100122212002
421123120132222323
5131213002001311
64352300411215
7505600513622
oct113330365273
928114318762
1010123078331
114325239643
121b66246b0b
13c543515a2
146c06406b9
153e3ac093b
hex25b61eabb

10123078331 has 2 divisors, whose sum is σ = 10123078332. Its totient is φ = 10123078330.

The previous prime is 10123078313. The next prime is 10123078333. The reversal of 10123078331 is 13387032101.

Together with previous prime (10123078313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (13387032101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123078331 - 226 = 10055969467 is a prime.

It is a super-2 number, since 2×101230783312 (a number of 21 digits) contains 22 as substring.

Together with 10123078333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123078294 and 10123078303.

It is not a weakly prime, because it can be changed into another prime (10123078333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061539165 + 5061539166.

It is an arithmetic number, because the mean of its divisors is an integer number (5061539166).

Almost surely, 210123078331 is an apocalyptic number.

10123078331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123078331 is an equidigital number, since it uses as much as digits as its factorization.

10123078331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 10123078331 in words is "ten billion, one hundred twenty-three million, seventy-eight thousand, three hundred thirty-one".