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331123213033 is a prime number
BaseRepresentation
bin1001101000110000111…
…10110100001011101001
31011122200112202001201221
410310120132310023221
520411120020304113
6412041011342041
732631353604634
oct4643036641351
91148615661657
10331123213033
1111847946a968
12542105b1921
13252bcb113b2
141205280cc1b
15892ec0698d
hex4d187b42e9

331123213033 has 2 divisors, whose sum is σ = 331123213034. Its totient is φ = 331123213032.

The previous prime is 331123213019. The next prime is 331123213079. The reversal of 331123213033 is 330312321133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202186921104 + 128936291929 = 449652^2 + 359077^2 .

It is a cyclic number.

It is not a de Polignac number, because 331123213033 - 29 = 331123212521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331123212989 and 331123213007.

It is not a weakly prime, because it can be changed into another prime (331123213093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561606516 + 165561606517.

It is an arithmetic number, because the mean of its divisors is an integer number (165561606517).

Almost surely, 2331123213033 is an apocalyptic number.

It is an amenable number.

331123213033 is a deficient number, since it is larger than the sum of its proper divisors (1).

331123213033 is an equidigital number, since it uses as much as digits as its factorization.

331123213033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 331123213033 its reverse (330312321133), we get a palindrome (661435534166).

The spelling of 331123213033 in words is "three hundred thirty-one billion, one hundred twenty-three million, two hundred thirteen thousand, thirty-three".