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21302132113033 is a prime number
BaseRepresentation
bin1001101011111110010100…
…00001000111111010001001
32210102110112012202112010021
410311333022001013322021
510243003231310104113
6113150021524220441
74326012456246262
oct465771201077211
983373465675107
1021302132113033
116873202261312
1224805b4b3a721
13bb6a23030a05
14539058a51969
1526e1b606848d
hex135fca047e89

21302132113033 has 2 divisors, whose sum is σ = 21302132113034. Its totient is φ = 21302132113032.

The previous prime is 21302132113013. The next prime is 21302132113081. The reversal of 21302132113033 is 33031123120312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21204846136384 + 97285976649 = 4604872^2 + 311907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21302132113033 is a prime.

It is a super-2 number, since 2×213021321130332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21302132112989 and 21302132113007.

It is not a weakly prime, because it can be changed into another prime (21302132113013) 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, 10651066056516 + 10651066056517.

It is an arithmetic number, because the mean of its divisors is an integer number (10651066056517).

Almost surely, 221302132113033 is an apocalyptic number.

It is an amenable number.

21302132113033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21302132113033 is an equidigital number, since it uses as much as digits as its factorization.

21302132113033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 21302132113033 its reverse (33031123120312), we get a palindrome (54333255233345).

The spelling of 21302132113033 in words is "twenty-one trillion, three hundred two billion, one hundred thirty-two million, one hundred thirteen thousand, thirty-three".