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213122232341 is a prime number
BaseRepresentation
bin1100011001111100010…
…0110011000000010101
3202101002212002011012122
43012133010303000111
511442433242413331
6241523525025325
721253240041104
oct3063704630025
9671085064178
10213122232341
1182425a42617
123537a255245
1317135b19bb5
14a45ab8803b
1558254bd17b
hex319f133015

213122232341 has 2 divisors, whose sum is σ = 213122232342. Its totient is φ = 213122232340.

The previous prime is 213122232329. The next prime is 213122232353. The reversal of 213122232341 is 143232221312.

It is a balanced prime because it is at equal distance from previous prime (213122232329) and next prime (213122232353).

It can be written as a sum of positive squares in only one way, i.e., 187557420241 + 25564812100 = 433079^2 + 159890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213122232341 is a prime.

It is a super-2 number, since 2×2131222323412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213122232341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122232941) 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, 106561116170 + 106561116171.

It is an arithmetic number, because the mean of its divisors is an integer number (106561116171).

Almost surely, 2213122232341 is an apocalyptic number.

It is an amenable number.

213122232341 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122232341 is an equidigital number, since it uses as much as digits as its factorization.

213122232341 is an odious number, because the sum of its binary digits is odd.

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

Adding to 213122232341 its reverse (143232221312), we get a palindrome (356354453653).

The spelling of 213122232341 in words is "two hundred thirteen billion, one hundred twenty-two million, two hundred thirty-two thousand, three hundred forty-one".