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331312112122969 is a prime number
BaseRepresentation
bin100101101010100111001110…
…0110000001011110001011001
31121110002010110202002101201101
41023111032130300023301121
5321411204201200413334
63132350403315551401
7126533336665200565
oct11325163460136131
91543063422071641
10331312112122969
1196625750005a4a
12311aa60bbbb561
13112b37a109c763
145bb583dc146a5
1528482c5a7a214
hex12d539cc0bc59

331312112122969 has 2 divisors, whose sum is σ = 331312112122970. Its totient is φ = 331312112122968.

The previous prime is 331312112122949. The next prime is 331312112123093. The reversal of 331312112122969 is 969221211213133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300471716174400 + 30840395948569 = 17334120^2 + 5553413^2 .

It is a cyclic number.

It is not a de Polignac number, because 331312112122969 - 241 = 329113088867417 is a prime.

It is a super-2 number, since 2×3313121121229692 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331312112122949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656056061484 + 165656056061485.

It is an arithmetic number, because the mean of its divisors is an integer number (165656056061485).

Almost surely, 2331312112122969 is an apocalyptic number.

It is an amenable number.

331312112122969 is a deficient number, since it is larger than the sum of its proper divisors (1).

331312112122969 is an equidigital number, since it uses as much as digits as its factorization.

331312112122969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 209952, while the sum is 46.

The spelling of 331312112122969 in words is "three hundred thirty-one trillion, three hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, nine hundred sixty-nine".