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22441144013 is a prime number
BaseRepresentation
bin10100111001100110…
…001010111011001101
32010220221222020021222
4110321212022323031
5331424413102023
614150451333125
71423053401561
oct247146127315
963827866258
1022441144013
119576493712
1244235b11a5
13216836aa52
14112c5b56a1
158b521ccc8
hex53998aecd

22441144013 has 2 divisors, whose sum is σ = 22441144014. Its totient is φ = 22441144012.

The previous prime is 22441143943. The next prime is 22441144039. The reversal of 22441144013 is 31044114422.

It is an a-pointer prime, because the next prime (22441144039) can be obtained adding 22441144013 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21891569764 + 549574249 = 147958^2 + 23443^2 .

It is a cyclic number.

It is not a de Polignac number, because 22441144013 - 210 = 22441142989 is a prime.

It is a super-2 number, since 2×224411440132 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22441144613) 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, 11220572006 + 11220572007.

It is an arithmetic number, because the mean of its divisors is an integer number (11220572007).

Almost surely, 222441144013 is an apocalyptic number.

It is an amenable number.

22441144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22441144013 is an equidigital number, since it uses as much as digits as its factorization.

22441144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 22441144013 its reverse (31044114422), we get a palindrome (53485258435).

The spelling of 22441144013 in words is "twenty-two billion, four hundred forty-one million, one hundred forty-four thousand, thirteen".