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222121210211113 is a prime number
BaseRepresentation
bin110010100000010010011111…
…110101001110101100101001
31002010110120200001100010020111
4302200102133311032230221
5213103213214303223423
62104225024132054321
764533504440544253
oct6240223765165451
91063416601303214
10222121210211113
1164858092526864
1220ab46b3a643a1
1396c2c2b94c495
143cbca1c6a4cd3
151aa2d3825e60d
hexca049fd4eb29

222121210211113 has 2 divisors, whose sum is σ = 222121210211114. Its totient is φ = 222121210211112.

The previous prime is 222121210210973. The next prime is 222121210211119. The reversal of 222121210211113 is 311112012121222.

222121210211113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211059645963664 + 11061564247449 = 14527892^2 + 3325893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222121210211113 is a prime.

It is not a weakly prime, because it can be changed into another prime (222121210211119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111060605105556 + 111060605105557.

It is an arithmetic number, because the mean of its divisors is an integer number (111060605105557).

Almost surely, 2222121210211113 is an apocalyptic number.

It is an amenable number.

222121210211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

222121210211113 is an equidigital number, since it uses as much as digits as its factorization.

222121210211113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 222121210211113 its reverse (311112012121222), we get a palindrome (533233222332335).

The spelling of 222121210211113 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred ten million, two hundred eleven thousand, one hundred thirteen".