Search a number
-
+
231110121200369 is a prime number
BaseRepresentation
bin110100100011000110000100…
…101011011001101011110001
31010022021220121201012211120012
4310203012010223121223301
5220243002012011402434
62135310305102424305
766452104151354255
oct6443060453315361
91108256551184505
10231110121200369
1167703285430aa4
1221b06833b92095
139bc578b31ac48
14410db0a74a265
151baba881683ce
hexd23184ad9af1

231110121200369 has 2 divisors, whose sum is σ = 231110121200370. Its totient is φ = 231110121200368.

The previous prime is 231110121200281. The next prime is 231110121200377. The reversal of 231110121200369 is 963002121011132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132821476032400 + 98288645167969 = 11524820^2 + 9914063^2 .

It is a cyclic number.

It is not a de Polignac number, because 231110121200369 - 220 = 231110120151793 is a prime.

It is a super-2 number, since 2×2311101212003692 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231110121200869) 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, 115555060600184 + 115555060600185.

It is an arithmetic number, because the mean of its divisors is an integer number (115555060600185).

Almost surely, 2231110121200369 is an apocalyptic number.

It is an amenable number.

231110121200369 is a deficient number, since it is larger than the sum of its proper divisors (1).

231110121200369 is an equidigital number, since it uses as much as digits as its factorization.

231110121200369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 231110121200369 in words is "two hundred thirty-one trillion, one hundred ten billion, one hundred twenty-one million, two hundred thousand, three hundred sixty-nine".