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103122167219 is a prime number
BaseRepresentation
bin110000000001010001…
…1110110010110110011
3100212011202112212111122
41200002203312112303
53142143233322334
6115212413532455
710310314646561
oct1400243662663
9325152485448
10103122167219
113a808858595
1217b9b4a412b
1399555c9476
144dc3988a31
152a383b132e
hex18028f65b3

103122167219 has 2 divisors, whose sum is σ = 103122167220. Its totient is φ = 103122167218.

The previous prime is 103122167153. The next prime is 103122167221. The reversal of 103122167219 is 912761221301.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103122167219 is a prime.

It is a super-2 number, since 2×1031221672192 (a number of 23 digits) contains 22 as substring.

Together with 103122167221, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (103122167719) 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, 51561083609 + 51561083610.

It is an arithmetic number, because the mean of its divisors is an integer number (51561083610).

Almost surely, 2103122167219 is an apocalyptic number.

103122167219 is a deficient number, since it is larger than the sum of its proper divisors (1).

103122167219 is an equidigital number, since it uses as much as digits as its factorization.

103122167219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 103122167219 in words is "one hundred three billion, one hundred twenty-two million, one hundred sixty-seven thousand, two hundred nineteen".