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213102232241 is a prime number
BaseRepresentation
bin1100011001110111100…
…0100000001010110001
3202101001110110001020012
43012131320200022301
511442413132412431
6241521532224305
721252605041553
oct3063570401261
9671043401205
10213102232241
1182415722208
123537360b095
1317131936712
14a45825d4d3
15582386c22b
hex319de202b1

213102232241 has 2 divisors, whose sum is σ = 213102232242. Its totient is φ = 213102232240.

The previous prime is 213102232171. The next prime is 213102232271. The reversal of 213102232241 is 142232201312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207825662641 + 5276569600 = 455879^2 + 72640^2 .

It is a cyclic number.

It is not a de Polignac number, because 213102232241 - 214 = 213102215857 is a prime.

It is a super-2 number, since 2×2131022322412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213102232271) 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, 106551116120 + 106551116121.

It is an arithmetic number, because the mean of its divisors is an integer number (106551116121).

Almost surely, 2213102232241 is an apocalyptic number.

It is an amenable number.

213102232241 is a deficient number, since it is larger than the sum of its proper divisors (1).

213102232241 is an equidigital number, since it uses as much as digits as its factorization.

213102232241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213102232241 its reverse (142232201312), we get a palindrome (355334433553).

The spelling of 213102232241 in words is "two hundred thirteen billion, one hundred two million, two hundred thirty-two thousand, two hundred forty-one".