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331212211133249 is a prime number
BaseRepresentation
bin100101101001111000101101…
…0001100001001101101000001
31121102201120121110202022001002
41023103301122030021231001
5321403040102022230444
63132232442251021345
7126523202232613025
oct11323613214115501
91542646543668032
10331212211133249
1196597345555826
123119318b43a855
13112a723cc481a4
145bb0a83da8385
1528458ca39bd4e
hex12d3c5a309b41

331212211133249 has 2 divisors, whose sum is σ = 331212211133250. Its totient is φ = 331212211133248.

The previous prime is 331212211133183. The next prime is 331212211133347. The reversal of 331212211133249 is 942331112212133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331143910969600 + 68300163649 = 18197360^2 + 261343^2 .

It is a cyclic number.

It is not a de Polignac number, because 331212211133249 - 220 = 331212210084673 is a prime.

It is not a weakly prime, because it can be changed into another prime (331212211132249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165606105566624 + 165606105566625.

It is an arithmetic number, because the mean of its divisors is an integer number (165606105566625).

Almost surely, 2331212211133249 is an apocalyptic number.

It is an amenable number.

331212211133249 is a deficient number, since it is larger than the sum of its proper divisors (1).

331212211133249 is an equidigital number, since it uses as much as digits as its factorization.

331212211133249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 38.

The spelling of 331212211133249 in words is "three hundred thirty-one trillion, two hundred twelve billion, two hundred eleven million, one hundred thirty-three thousand, two hundred forty-nine".