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22311011221 is a prime number
BaseRepresentation
bin10100110001110101…
…110000001110010101
32010120220002210122221
4110301311300032111
5331143104324341
614125522222341
71416613315642
oct246165601625
963526083587
1022311011221
119509a90a54
1243a7ab49b1
1321474069b5
1411191bcdc9
158a8ab4ed1
hex531d70395

22311011221 has 2 divisors, whose sum is σ = 22311011222. Its totient is φ = 22311011220.

The previous prime is 22311011213. The next prime is 22311011227. The reversal of 22311011221 is 12211011322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19596080196 + 2714931025 = 139986^2 + 52105^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311011221 - 23 = 22311011213 is a prime.

It is a super-3 number, since 3×223110112213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22311011195 and 22311011204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22311011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11155505610 + 11155505611.

It is an arithmetic number, because the mean of its divisors is an integer number (11155505611).

Almost surely, 222311011221 is an apocalyptic number.

It is an amenable number.

22311011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22311011221 is an equidigital number, since it uses as much as digits as its factorization.

22311011221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 22311011221 its reverse (12211011322), we get a palindrome (34522022543).

It can be divided in two parts, 2231101 and 1221, that added together give a palindrome (2232322).

The spelling of 22311011221 in words is "twenty-two billion, three hundred eleven million, eleven thousand, two hundred twenty-one".