Search a number
-
+
10123012267 is a prime number
BaseRepresentation
bin10010110110110000…
…01110100010101011
3222010111020022020021
421123120032202223
5131212442343032
64352255141311
7505600120204
oct113330164253
928114208207
1010123012267
1143251a3a45
121b66214837
13c5432a4b4
146c06245ab
153e3aab097
hex25b60e8ab

10123012267 has 2 divisors, whose sum is σ = 10123012268. Its totient is φ = 10123012266.

The previous prime is 10123012231. The next prime is 10123012301. The reversal of 10123012267 is 76221032101.

It is a happy number.

10123012267 is digitally balanced in base 2, 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 a de Polignac number, because none of the positive numbers 2k-10123012267 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123010267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061506133 + 5061506134.

It is an arithmetic number, because the mean of its divisors is an integer number (5061506134).

Almost surely, 210123012267 is an apocalyptic number.

10123012267 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123012267 is an equidigital number, since it uses as much as digits as its factorization.

10123012267 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 10123012267 its reverse (76221032101), we get a palindrome (86344044368).

The spelling of 10123012267 in words is "ten billion, one hundred twenty-three million, twelve thousand, two hundred sixty-seven".