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232102221313 is a prime number
BaseRepresentation
bin1101100000101001011…
…1101101011000000001
3211012002121021111101011
43120022113231120001
512300321132040223
6254343140040521
722524465220654
oct3301227553001
9735077244334
10232102221313
118a485720216
1238b96693141
1318b6c09c1c1
14b33b7d389b
15608690380d
hex360a5ed601

232102221313 has 2 divisors, whose sum is σ = 232102221314. Its totient is φ = 232102221312.

The previous prime is 232102221289. The next prime is 232102221401. The reversal of 232102221313 is 313122201232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 228653243329 + 3448977984 = 478177^2 + 58728^2 .

It is a cyclic number.

It is not a de Polignac number, because 232102221313 - 221 = 232100124161 is a prime.

It is a super-3 number, since 3×2321022213133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (232102221613) 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, 116051110656 + 116051110657.

It is an arithmetic number, because the mean of its divisors is an integer number (116051110657).

Almost surely, 2232102221313 is an apocalyptic number.

It is an amenable number.

232102221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

232102221313 is an equidigital number, since it uses as much as digits as its factorization.

232102221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 232102221313 its reverse (313122201232), we get a palindrome (545224422545).

The spelling of 232102221313 in words is "two hundred thirty-two billion, one hundred two million, two hundred twenty-one thousand, three hundred thirteen".