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12211117973 is a prime number
BaseRepresentation
bin10110101111101011…
…01101111110010101
31011112000101001202122
423113311231332111
5200002021233343
65335410345325
7611413535015
oct132765557625
934460331678
1012211117973
1151a694873a
12244958b245
1311c7b124c2
1483ba95c45
154b7074068
hex2d7d6df95

12211117973 has 2 divisors, whose sum is σ = 12211117974. Its totient is φ = 12211117972.

The previous prime is 12211117937. The next prime is 12211117993. The reversal of 12211117973 is 37971111221.

Together with previous prime (12211117937) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12121569604 + 89548369 = 110098^2 + 9463^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211117973 - 26 = 12211117909 is a prime.

It is a super-2 number, since 2×122111179732 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211117993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105558986 + 6105558987.

It is an arithmetic number, because the mean of its divisors is an integer number (6105558987).

Almost surely, 212211117973 is an apocalyptic number.

It is an amenable number.

12211117973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211117973 is an equidigital number, since it uses as much as digits as its factorization.

12211117973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5292, while the sum is 35.

The spelling of 12211117973 in words is "twelve billion, two hundred eleven million, one hundred seventeen thousand, nine hundred seventy-three".