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231332213113 is a prime number
BaseRepresentation
bin1101011101110001111…
…0010111000101111001
3211010002221101000200221
43113130132113011321
512242232021304423
6254134512100041
722466425240051
oct3273436270571
9733087330627
10231332213113
118a120004701
1238a00834621
1318a786ba651
14b2a7434561
15603e002e5d
hex35dc797179

231332213113 has 2 divisors, whose sum is σ = 231332213114. Its totient is φ = 231332213112.

The previous prime is 231332213071. The next prime is 231332213117. The reversal of 231332213113 is 311312233132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171340528489 + 59991684624 = 413933^2 + 244932^2 .

It is a cyclic number.

It is not a de Polignac number, because 231332213113 - 237 = 93893259641 is a prime.

It is a super-3 number, since 3×2313322131133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (231332213117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115666106556 + 115666106557.

It is an arithmetic number, because the mean of its divisors is an integer number (115666106557).

Almost surely, 2231332213113 is an apocalyptic number.

It is an amenable number.

231332213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

231332213113 is an equidigital number, since it uses as much as digits as its factorization.

231332213113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 231332213113 its reverse (311312233132), we get a palindrome (542644446245).

The spelling of 231332213113 in words is "two hundred thirty-one billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred thirteen".