Search a number
-
+
12223100101169 is a prime number
BaseRepresentation
bin1011000111011110100110…
…0010100010001000110001
31121021111221212021111212102
42301313221202202020301
53100230402111214134
641555114211310145
72401042546412156
oct261675142421061
947244855244772
1012223100101169
113992873395a01
121454b035ab355
136a8830748779
1430385b9a822d
15162e3e37937e
hexb1de98a2231

12223100101169 has 2 divisors, whose sum is σ = 12223100101170. Its totient is φ = 12223100101168.

The previous prime is 12223100101109. The next prime is 12223100101237. The reversal of 12223100101169 is 96110100132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8399198070769 + 3823902030400 = 2898137^2 + 1955480^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223100101169 - 228 = 12222831665713 is a prime.

It is a super-2 number, since 2×122231001011692 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12223100101109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111550050584 + 6111550050585.

It is an arithmetic number, because the mean of its divisors is an integer number (6111550050585).

Almost surely, 212223100101169 is an apocalyptic number.

It is an amenable number.

12223100101169 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223100101169 is an equidigital number, since it uses as much as digits as its factorization.

12223100101169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 12223100101169 in words is "twelve trillion, two hundred twenty-three billion, one hundred million, one hundred one thousand, one hundred sixty-nine".