Search a number
-
+
330012001213 is a prime number
BaseRepresentation
bin1001100110101100011…
…11111000001110111101
31011112211002210122200121
410303112033320032331
520401331033014323
6411334434254541
732562001504216
oct4632617701675
91145732718617
10330012001213
11117a59197a94
1253b60427451
13251738363cb
1411d88dd240d
1588b73a8a5d
hex4cd63f83bd

330012001213 has 2 divisors, whose sum is σ = 330012001214. Its totient is φ = 330012001212.

The previous prime is 330012001211. The next prime is 330012001289. The reversal of 330012001213 is 312100210033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190119544729 + 139892456484 = 436027^2 + 374022^2 .

It is an emirp because it is prime and its reverse (312100210033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330012001213 - 21 = 330012001211 is a prime.

It is a super-2 number, since 2×3300120012132 (a number of 24 digits) contains 22 as substring.

Together with 330012001211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330012001211) 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, 165006000606 + 165006000607.

It is an arithmetic number, because the mean of its divisors is an integer number (165006000607).

Almost surely, 2330012001213 is an apocalyptic number.

It is an amenable number.

330012001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

330012001213 is an equidigital number, since it uses as much as digits as its factorization.

330012001213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 330012001213 its reverse (312100210033), we get a palindrome (642112211246).

The spelling of 330012001213 in words is "three hundred thirty billion, twelve million, one thousand, two hundred thirteen".