Search a number
-
+
22311241103441 is a prime number
BaseRepresentation
bin1010001001010101111011…
…00110011011100001010001
32220222221012202100121100102
411010222331212123201101
510411021410210302231
6115241350452102145
74461635232164543
oct504527546334121
986887182317312
1022311241103441
117122164a4a554
122604099604955
13c5ac3051a4b4
14571c26b61693
1528a577339acb
hex144abd99b851

22311241103441 has 2 divisors, whose sum is σ = 22311241103442. Its totient is φ = 22311241103440.

The previous prime is 22311241103407. The next prime is 22311241103467. The reversal of 22311241103441 is 14430114211322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21867978095041 + 443263008400 = 4676321^2 + 665780^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311241103441 - 230 = 22310167361617 is a prime.

It is a super-3 number, since 3×223112411034413 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22311241103401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155620551720 + 11155620551721.

It is an arithmetic number, because the mean of its divisors is an integer number (11155620551721).

Almost surely, 222311241103441 is an apocalyptic number.

It is an amenable number.

22311241103441 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311241103441 is an equidigital number, since it uses as much as digits as its factorization.

22311241103441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 22311241103441 its reverse (14430114211322), we get a palindrome (36741355314763).

The spelling of 22311241103441 in words is "twenty-two trillion, three hundred eleven billion, two hundred forty-one million, one hundred three thousand, four hundred forty-one".