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221334041213 is a prime number
BaseRepresentation
bin1100111000100010001…
…0010111001001111101
3210011022011001021020222
43032020202113021331
512111243003304323
6245402432351125
721663602210615
oct3161042271175
9704264037228
10221334041213
118595a32911a
1236a903a54a5
1317b441c02bc
14a9d9629a45
155b563a69c8
hex338889727d

221334041213 has 2 divisors, whose sum is σ = 221334041214. Its totient is φ = 221334041212.

The previous prime is 221334041189. The next prime is 221334041221. The reversal of 221334041213 is 312140433122.

221334041213 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., 202106890969 + 19227150244 = 449563^2 + 138662^2 .

It is a cyclic number.

It is not a de Polignac number, because 221334041213 - 212 = 221334037117 is a prime.

It is a super-2 number, since 2×2213340412132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221334041263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110667020606 + 110667020607.

It is an arithmetic number, because the mean of its divisors is an integer number (110667020607).

Almost surely, 2221334041213 is an apocalyptic number.

It is an amenable number.

221334041213 is a deficient number, since it is larger than the sum of its proper divisors (1).

221334041213 is an equidigital number, since it uses as much as digits as its factorization.

221334041213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221334041213 its reverse (312140433122), we get a palindrome (533474474335).

The spelling of 221334041213 in words is "two hundred twenty-one billion, three hundred thirty-four million, forty-one thousand, two hundred thirteen".