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22312101311221 is a prime number
BaseRepresentation
bin1010001001010111100001…
…10111110111001011110101
32221000000102200222200120211
411010223300313313023311
510411030140413424341
6115242012101225421
74461665445632131
oct504536067671365
987000380880524
1022312101311221
117122566573377
122604299702271
13c5b0397c0a97
14571ca90c03c1
1528a5c7b06181
hex144af0df72f5

22312101311221 has 2 divisors, whose sum is σ = 22312101311222. Its totient is φ = 22312101311220.

The previous prime is 22312101311113. The next prime is 22312101311287. The reversal of 22312101311221 is 12211310121322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13281024530596 + 9031076780625 = 3644314^2 + 3005175^2 .

It is a cyclic number.

It is not a de Polignac number, because 22312101311221 - 241 = 20113078055669 is a prime.

It is a super-3 number, since 3×223121013112213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312101311192 and 22312101311201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22312101315221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156050655610 + 11156050655611.

It is an arithmetic number, because the mean of its divisors is an integer number (11156050655611).

Almost surely, 222312101311221 is an apocalyptic number.

It is an amenable number.

22312101311221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312101311221 is an equidigital number, since it uses as much as digits as its factorization.

22312101311221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 22312101311221 its reverse (12211310121322), we get a palindrome (34523411432543).

The spelling of 22312101311221 in words is "twenty-two trillion, three hundred twelve billion, one hundred one million, three hundred eleven thousand, two hundred twenty-one".