Search a number
-
+
22144101124213 is a prime number
BaseRepresentation
bin1010000100011110100110…
…10010000000100001110101
32220101221210110222221011101
411002033103102000201311
510400302104341433323
6115032505402210101
74443600316616425
oct502172322004165
986357713887141
1022144101124213
117068295875312
1225978127b3931
13c48244c76bc3
14567accc94485
15286043b32dad
hex1423d3480875

22144101124213 has 2 divisors, whose sum is σ = 22144101124214. Its totient is φ = 22144101124212.

The previous prime is 22144101124157. The next prime is 22144101124267. The reversal of 22144101124213 is 31242110144122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20994559048324 + 1149542075889 = 4581982^2 + 1072167^2 .

It is a cyclic number.

It is not a de Polignac number, because 22144101124213 - 213 = 22144101116021 is a prime.

It is a super-2 number, since 2×221441011242132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22144101124273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11072050562106 + 11072050562107.

It is an arithmetic number, because the mean of its divisors is an integer number (11072050562107).

Almost surely, 222144101124213 is an apocalyptic number.

It is an amenable number.

22144101124213 is a deficient number, since it is larger than the sum of its proper divisors (1).

22144101124213 is an equidigital number, since it uses as much as digits as its factorization.

22144101124213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 22144101124213 its reverse (31242110144122), we get a palindrome (53386211268335).

The spelling of 22144101124213 in words is "twenty-two trillion, one hundred forty-four billion, one hundred one million, one hundred twenty-four thousand, two hundred thirteen".