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10123221167 is a prime number
BaseRepresentation
bin10010110110110010…
…00001100010101111
3222010111121220210022
421123121001202233
5131213021034132
64352303432355
7505601650223
oct113331014257
928114556708
1010123221167
114325326994
121b662b56bb
13c543a15c7
146c067a783
153e3aece12
hex25b6418af

10123221167 has 2 divisors, whose sum is σ = 10123221168. Its totient is φ = 10123221166.

The previous prime is 10123221091. The next prime is 10123221179. The reversal of 10123221167 is 76112232101.

10123221167 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 not a de Polignac number, because 10123221167 - 220 = 10122172591 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123221967) 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, 5061610583 + 5061610584.

It is an arithmetic number, because the mean of its divisors is an integer number (5061610584).

Almost surely, 210123221167 is an apocalyptic number.

10123221167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123221167 is an equidigital number, since it uses as much as digits as its factorization.

10123221167 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 26.

Adding to 10123221167 its reverse (76112232101), we get a palindrome (86235453268).

The spelling of 10123221167 in words is "ten billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred sixty-seven".