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22563640024241 is a prime number
BaseRepresentation
bin1010010000101100000011…
…01111111001110010110001
32221220001200212110021011012
411020112001233321302301
510424140313321233431
6115553332041000305
74516112014464521
oct510260157716261
987801625407135
1022563640024241
11720a205619478
122644b99483095
13c789855a7a44
1458012bdd1681
15291deaa6522b
hex148581bf9cb1

22563640024241 has 2 divisors, whose sum is σ = 22563640024242. Its totient is φ = 22563640024240.

The previous prime is 22563640024223. The next prime is 22563640024307. The reversal of 22563640024241 is 14242004636522.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17682832369216 + 4880807655025 = 4205096^2 + 2209255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22563640024241 is a prime.

It is a super-2 number, since 2×225636400242412 (a number of 28 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 (22563640024441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11281820012120 + 11281820012121.

It is an arithmetic number, because the mean of its divisors is an integer number (11281820012121).

Almost surely, 222563640024241 is an apocalyptic number.

It is an amenable number.

22563640024241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22563640024241 is an equidigital number, since it uses as much as digits as its factorization.

22563640024241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 22563640024241 in words is "twenty-two trillion, five hundred sixty-three billion, six hundred forty million, twenty-four thousand, two hundred forty-one".