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22135221355241 is a prime number
BaseRepresentation
bin1010000100001110000100…
…00000011000001011101001
32220101002212122010221010002
411002013002000120023221
510400130413131331431
6115024440314032345
74443134264051231
oct502070200301351
986332778127102
1022135221355241
117064549433475
122595b54a186b5
13c4745b3a1a37
145674c9818cc1
15285bc42a53cb
hex1421c20182e9

22135221355241 has 2 divisors, whose sum is σ = 22135221355242. Its totient is φ = 22135221355240.

The previous prime is 22135221355207. The next prime is 22135221355243. The reversal of 22135221355241 is 14255312253122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21990669315241 + 144552040000 = 4689421^2 + 380200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22135221355241 is a prime.

Together with 22135221355243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22135221355195 and 22135221355204.

It is not a weakly prime, because it can be changed into another prime (22135221355243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11067610677620 + 11067610677621.

It is an arithmetic number, because the mean of its divisors is an integer number (11067610677621).

Almost surely, 222135221355241 is an apocalyptic number.

It is an amenable number.

22135221355241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22135221355241 is an equidigital number, since it uses as much as digits as its factorization.

22135221355241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144000, while the sum is 38.

The spelling of 22135221355241 in words is "twenty-two trillion, one hundred thirty-five billion, two hundred twenty-one million, three hundred fifty-five thousand, two hundred forty-one".