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331441223013181 is a prime number
BaseRepresentation
bin100101101011100011010110…
…0010111001001001100111101
31121110112110201201000012000001
41023113012230113021030331
5321420313111042410211
63132525555034234301
7126545560324514251
oct11327065427111475
91543473651005001
10331441223013181
11966754848107a6
123120b642b85991
13112c2a089c1708
145bbbbab19a261
15284b830813ac1
hex12d71ac5c933d

331441223013181 has 2 divisors, whose sum is σ = 331441223013182. Its totient is φ = 331441223013180.

The previous prime is 331441223013119. The next prime is 331441223013253. The reversal of 331441223013181 is 181310322144133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238186471090681 + 93254751922500 = 15433291^2 + 9656850^2 .

It is a cyclic number.

It is not a de Polignac number, because 331441223013181 - 211 = 331441223011133 is a prime.

It is a super-2 number, since 2×3314412230131812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331441223013181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331441223013581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165720611506590 + 165720611506591.

It is an arithmetic number, because the mean of its divisors is an integer number (165720611506591).

Almost surely, 2331441223013181 is an apocalyptic number.

It is an amenable number.

331441223013181 is a deficient number, since it is larger than the sum of its proper divisors (1).

331441223013181 is an equidigital number, since it uses as much as digits as its factorization.

331441223013181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 331441223013181 in words is "three hundred thirty-one trillion, four hundred forty-one billion, two hundred twenty-three million, thirteen thousand, one hundred eighty-one".