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22144045311013 is a prime number
BaseRepresentation
bin1010000100011110011111…
…11101000110010000100101
32220101221122120222022211211
411002033033331012100211
510400302001044423023
6115032500050031421
74443566041330633
oct502171775062045
986357576868754
1022144045311013
117068267313aaa
1225977b7b78571
13c48236534842
14567ac56c6353
1528603dcaaa0d
hex1423cff46425

22144045311013 has 2 divisors, whose sum is σ = 22144045311014. Its totient is φ = 22144045311012.

The previous prime is 22144045311007. The next prime is 22144045311131. The reversal of 22144045311013 is 31011354044122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21500637586884 + 643407724129 = 4636878^2 + 802127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22144045311013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22144045315013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11072022655506 + 11072022655507.

It is an arithmetic number, because the mean of its divisors is an integer number (11072022655507).

Almost surely, 222144045311013 is an apocalyptic number.

It is an amenable number.

22144045311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22144045311013 is an equidigital number, since it uses as much as digits as its factorization.

22144045311013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 22144045311013 its reverse (31011354044122), we get a palindrome (53155399355135).

The spelling of 22144045311013 in words is "twenty-two trillion, one hundred forty-four billion, forty-five million, three hundred eleven thousand, thirteen".