Search a number
-
+
30332133313021 is a prime number
BaseRepresentation
bin1101110010110010000000…
…00010000000100111111101
310222101201112112010012220201
412321121000002000213331
512433430202112004041
6144302220100443501
76250265353102111
oct671310002004775
9128351475105821
1030332133313021
119734870552aa1
12349a6a20a9591
1313c04005b5a37
1476c123db5741
1537901d509631
hex1b96400809fd

30332133313021 has 2 divisors, whose sum is σ = 30332133313022. Its totient is φ = 30332133313020.

The previous prime is 30332133312997. The next prime is 30332133313057. The reversal of 30332133313021 is 12031333123303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17828915104900 + 12503218208121 = 4222430^2 + 3535989^2 .

It is a cyclic number.

It is not a de Polignac number, because 30332133313021 - 219 = 30332132788733 is a prime.

It is a super-2 number, since 2×303321333130212 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30332133313061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15166066656510 + 15166066656511.

It is an arithmetic number, because the mean of its divisors is an integer number (15166066656511).

Almost surely, 230332133313021 is an apocalyptic number.

It is an amenable number.

30332133313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

30332133313021 is an equidigital number, since it uses as much as digits as its factorization.

30332133313021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 30332133313021 its reverse (12031333123303), we get a palindrome (42363466436324).

The spelling of 30332133313021 in words is "thirty trillion, three hundred thirty-two billion, one hundred thirty-three million, three hundred thirteen thousand, twenty-one".