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10123123189 is a prime number
BaseRepresentation
bin10010110110110001…
…01001100111110101
3222010111102221101111
421123120221213311
5131213004420224
64352301355021
7505601061454
oct113330514765
928114387344
1010123123189
11432526a313
121b66268a71
13c54368b2a
146c0652b9b
153e3acdd94
hex25b6299f5

10123123189 has 2 divisors, whose sum is σ = 10123123190. Its totient is φ = 10123123188.

The previous prime is 10123123159. The next prime is 10123123207. The reversal of 10123123189 is 98132132101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7371596164 + 2751527025 = 85858^2 + 52455^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123123189 - 221 = 10121026037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10123123189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123123159) 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, 5061561594 + 5061561595.

It is an arithmetic number, because the mean of its divisors is an integer number (5061561595).

Almost surely, 210123123189 is an apocalyptic number.

It is an amenable number.

10123123189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123123189 is an equidigital number, since it uses as much as digits as its factorization.

10123123189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 10123123189 in words is "ten billion, one hundred twenty-three million, one hundred twenty-three thousand, one hundred eighty-nine".