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103122313213 is a prime number
BaseRepresentation
bin110000000001010010…
…0011001111111111101
3100212011202211021202211
41200002210121333331
53142143303010323
6115212421020421
710310316125323
oct1400244317775
9325152737684
10103122313213
113a808948247
1217b9b554711
13995564aa5a
144dc39c5d13
152a383de70d
hex1802919ffd

103122313213 has 2 divisors, whose sum is σ = 103122313214. Its totient is φ = 103122313212.

The previous prime is 103122313187. The next prime is 103122313267. The reversal of 103122313213 is 312313221301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73751894329 + 29370418884 = 271573^2 + 171378^2 .

It is a cyclic number.

It is not a de Polignac number, because 103122313213 - 25 = 103122313181 is a prime.

It is a super-2 number, since 2×1031223132132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103122311213) 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, 51561156606 + 51561156607.

It is an arithmetic number, because the mean of its divisors is an integer number (51561156607).

Almost surely, 2103122313213 is an apocalyptic number.

It is an amenable number.

103122313213 is a deficient number, since it is larger than the sum of its proper divisors (1).

103122313213 is an equidigital number, since it uses as much as digits as its factorization.

103122313213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103122313213 its reverse (312313221301), we get a palindrome (415435534514).

The spelling of 103122313213 in words is "one hundred three billion, one hundred twenty-two million, three hundred thirteen thousand, two hundred thirteen".