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31223323121 is a prime number
BaseRepresentation
bin11101000101000011…
…100001100111110001
32222121000012011012212
4131011003201213301
51002421132314441
622202132101505
72153512603364
oct350503414761
988530164185
1031223323121
111227282a881
126074764895
132c37964433
141722aca0db
15c2b21eeeb
hex7450e19f1

31223323121 has 2 divisors, whose sum is σ = 31223323122. Its totient is φ = 31223323120.

The previous prime is 31223323073. The next prime is 31223323279. The reversal of 31223323121 is 12132332213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25779834721 + 5443488400 = 160561^2 + 73780^2 .

It is a cyclic number.

It is not a de Polignac number, because 31223323121 - 26 = 31223323057 is a prime.

It is a super-3 number, since 3×312233231213 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (31223325121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15611661560 + 15611661561.

It is an arithmetic number, because the mean of its divisors is an integer number (15611661561).

Almost surely, 231223323121 is an apocalyptic number.

It is an amenable number.

31223323121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31223323121 is an equidigital number, since it uses as much as digits as its factorization.

31223323121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

Adding to 31223323121 its reverse (12132332213), we get a palindrome (43355655334).

The spelling of 31223323121 in words is "thirty-one billion, two hundred twenty-three million, three hundred twenty-three thousand, one hundred twenty-one".