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34322210213 is a prime number
BaseRepresentation
bin11111111101110000…
…110101110110100101
310021120222021221010212
4133331300311312211
51030242441211323
623433432025205
72323351654544
oct377560656645
9107528257125
1034322210213
1113612aa1595
12679a532205
13330c98ca35
1419384b415b
15d5d2e8b78
hex7fdc35da5

34322210213 has 2 divisors, whose sum is σ = 34322210214. Its totient is φ = 34322210212.

The previous prime is 34322210191. The next prime is 34322210227. The reversal of 34322210213 is 31201222343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25810671649 + 8511538564 = 160657^2 + 92258^2 .

It is a cyclic number.

It is not a de Polignac number, because 34322210213 - 222 = 34318015909 is a prime.

It is a super-2 number, since 2×343222102132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34322210233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17161105106 + 17161105107.

It is an arithmetic number, because the mean of its divisors is an integer number (17161105107).

Almost surely, 234322210213 is an apocalyptic number.

It is an amenable number.

34322210213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34322210213 is an equidigital number, since it uses as much as digits as its factorization.

34322210213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34322210213 its reverse (31201222343), we get a palindrome (65523432556).

The spelling of 34322210213 in words is "thirty-four billion, three hundred twenty-two million, two hundred ten thousand, two hundred thirteen".