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110221322117 is a prime number
BaseRepresentation
bin110011010100110110…
…0111110011110000101
3101112111111212022020112
41212221230332132011
53301213124301432
6122345053242405
710651246531304
oct1465154763605
9345444768215
10110221322117
1142821076755
1219440a93405
13a51730b33a
14549875643b
152d017647b2
hex19a9b3e785

110221322117 has 2 divisors, whose sum is σ = 110221322118. Its totient is φ = 110221322116.

The previous prime is 110221322041. The next prime is 110221322147. The reversal of 110221322117 is 711223122011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105879302881 + 4342019236 = 325391^2 + 65894^2 .

It is an emirp because it is prime and its reverse (711223122011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110221322117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110221322092 and 110221322101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110221322147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55110661058 + 55110661059.

It is an arithmetic number, because the mean of its divisors is an integer number (55110661059).

Almost surely, 2110221322117 is an apocalyptic number.

It is an amenable number.

110221322117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110221322117 is an equidigital number, since it uses as much as digits as its factorization.

110221322117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 110221322117 its reverse (711223122011), we get a palindrome (821444444128).

The spelling of 110221322117 in words is "one hundred ten billion, two hundred twenty-one million, three hundred twenty-two thousand, one hundred seventeen".