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231331212337 is a prime number
BaseRepresentation
bin1101011101110001101…
…0100010110000110001
3211010002212111011220011
43113130122202300301
512242231242243322
6254134434414521
722466413601251
oct3273432426061
9733085434804
10231331212337
118a11a490815
1238a00431441
1318a78429c84
14b2a7253961
15603dda6677
hex35dc6a2c31

231331212337 has 2 divisors, whose sum is σ = 231331212338. Its totient is φ = 231331212336.

The previous prime is 231331212263. The next prime is 231331212349. The reversal of 231331212337 is 733212133132.

It is a happy number.

231331212337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230437441521 + 893770816 = 480039^2 + 29896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231331212337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231331212299 and 231331212308.

It is not a weakly prime, because it can be changed into another prime (231331212367) 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, 115665606168 + 115665606169.

It is an arithmetic number, because the mean of its divisors is an integer number (115665606169).

Almost surely, 2231331212337 is an apocalyptic number.

It is an amenable number.

231331212337 is a deficient number, since it is larger than the sum of its proper divisors (1).

231331212337 is an equidigital number, since it uses as much as digits as its factorization.

231331212337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 31.

Adding to 231331212337 its reverse (733212133132), we get a palindrome (964543345469).

The spelling of 231331212337 in words is "two hundred thirty-one billion, three hundred thirty-one million, two hundred twelve thousand, three hundred thirty-seven".