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330031333211981 is a prime number
BaseRepresentation
bin100101100001010010110100…
…0011000010111111101001101
31121021112200120001121102201212
41023002211220120113331031
5321224213132300240411
63125530145034544205
7126341656046112452
oct11302455030277515
91537480501542655
10330031333211981
1196181558776495
1231022349898065
131121ca8a1a208b
145b6d85d315829
152824d1431268b
hex12c2968617f4d

330031333211981 has 2 divisors, whose sum is σ = 330031333211982. Its totient is φ = 330031333211980.

The previous prime is 330031333211959. The next prime is 330031333212011. The reversal of 330031333211981 is 189112333130033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328118807402500 + 1912525809481 = 18114050^2 + 1382941^2 .

It is an emirp because it is prime and its reverse (189112333130033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330031333211981 - 226 = 330031266103117 is a prime.

It is a super-2 number, since 2×3300313332119812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330031333411981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015666605990 + 165015666605991.

It is an arithmetic number, because the mean of its divisors is an integer number (165015666605991).

Almost surely, 2330031333211981 is an apocalyptic number.

It is an amenable number.

330031333211981 is a deficient number, since it is larger than the sum of its proper divisors (1).

330031333211981 is an equidigital number, since it uses as much as digits as its factorization.

330031333211981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 330031333211981 in words is "three hundred thirty trillion, thirty-one billion, three hundred thirty-three million, two hundred eleven thousand, nine hundred eighty-one".