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231321310193 is a prime number
BaseRepresentation
bin1101011101101111010…
…0110001001111110001
3211010002011212002201002
43113123310301033301
512242221223411233
6254133442251345
722466233460111
oct3273364611761
9733064762632
10231321310193
118a114938126
12389b9056b55
1318a76370b0c
14b2a5bd7041
15603d09c6e8
hex35dbd313f1

231321310193 has 2 divisors, whose sum is σ = 231321310194. Its totient is φ = 231321310192.

The previous prime is 231321310177. The next prime is 231321310261. The reversal of 231321310193 is 391013123132.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190892969569 + 40428340624 = 436913^2 + 201068^2 .

It is a cyclic number.

It is not a de Polignac number, because 231321310193 - 24 = 231321310177 is a prime.

It is a super-2 number, since 2×2313213101932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231321310393) 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, 115660655096 + 115660655097.

It is an arithmetic number, because the mean of its divisors is an integer number (115660655097).

Almost surely, 2231321310193 is an apocalyptic number.

It is an amenable number.

231321310193 is a deficient number, since it is larger than the sum of its proper divisors (1).

231321310193 is an equidigital number, since it uses as much as digits as its factorization.

231321310193 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 29.

The spelling of 231321310193 in words is "two hundred thirty-one billion, three hundred twenty-one million, three hundred ten thousand, one hundred ninety-three".