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10123011319 is a prime number
BaseRepresentation
bin10010110110110000…
…01110010011110111
3222010111020020221011
421123120032103313
5131212442330234
64352255133051
7505600114351
oct113330162367
928114206834
1010123011319
1143251a3263
121b66214187
13c54329c35
146c06240d1
153e3aaab64
hex25b60e4f7

10123011319 has 2 divisors, whose sum is σ = 10123011320. Its totient is φ = 10123011318.

The previous prime is 10123011209. The next prime is 10123011329. The reversal of 10123011319 is 91311032101.

10123011319 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 is a cyclic number.

It is not a de Polignac number, because 10123011319 - 217 = 10122880247 is a prime.

It is a super-2 number, since 2×101230113192 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10123011319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123011329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061505659 + 5061505660.

It is an arithmetic number, because the mean of its divisors is an integer number (5061505660).

Almost surely, 210123011319 is an apocalyptic number.

10123011319 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123011319 is an equidigital number, since it uses as much as digits as its factorization.

10123011319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 10123011319 in words is "ten billion, one hundred twenty-three million, eleven thousand, three hundred nineteen".