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222132302201261 is a prime number
BaseRepresentation
bin110010100000011100110100…
…111101110100000110101101
31002010111122022001212121020102
4302200130310331310012231
5213103403423330420021
62104234100524000445
764534346345112044
oct6240346475640655
91063448261777212
10222132302201261
1164861864685171
1220ab688a690125
1396c3ca894486a
143cbd39187d55b
151aa3286e2000b
hexca0734f741ad

222132302201261 has 2 divisors, whose sum is σ = 222132302201262. Its totient is φ = 222132302201260.

The previous prime is 222132302201231. The next prime is 222132302201291. The reversal of 222132302201261 is 162102203231222.

222132302201261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (222132302201231) and next prime (222132302201291).

It can be written as a sum of positive squares in only one way, i.e., 165582052601161 + 56550249600100 = 12867869^2 + 7519990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222132302201261 is a prime.

It is a super-2 number, since 2×2221323022012612 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222132302201231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111066151100630 + 111066151100631.

It is an arithmetic number, because the mean of its divisors is an integer number (111066151100631).

Almost surely, 2222132302201261 is an apocalyptic number.

It is an amenable number.

222132302201261 is a deficient number, since it is larger than the sum of its proper divisors (1).

222132302201261 is an equidigital number, since it uses as much as digits as its factorization.

222132302201261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 222132302201261 its reverse (162102203231222), we get a palindrome (384234505432483).

The spelling of 222132302201261 in words is "two hundred twenty-two trillion, one hundred thirty-two billion, three hundred two million, two hundred one thousand, two hundred sixty-one".