Search a number
-
+
2312213021329 is a prime number
BaseRepresentation
bin100001101001011010101…
…000101100001010010001
322012001020002201122101111
4201221122220230022101
5300340403013140304
64530114353333321
7326023536253531
oct41513250541221
98161202648344
102312213021329
11811670a75842
12314157567241
1313a06b6c0903
147dca9a214c1
154022c989704
hex21a5aa2c291

2312213021329 has 2 divisors, whose sum is σ = 2312213021330. Its totient is φ = 2312213021328.

The previous prime is 2312213021309. The next prime is 2312213021369. The reversal of 2312213021329 is 9231203122132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1880537740929 + 431675280400 = 1371327^2 + 657020^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312213021329 - 27 = 2312213021201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2312213021329.

It is not a weakly prime, because it can be changed into another prime (2312213021309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156106510664 + 1156106510665.

It is an arithmetic number, because the mean of its divisors is an integer number (1156106510665).

Almost surely, 22312213021329 is an apocalyptic number.

It is an amenable number.

2312213021329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312213021329 is an equidigital number, since it uses as much as digits as its factorization.

2312213021329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 2312213021329 in words is "two trillion, three hundred twelve billion, two hundred thirteen million, twenty-one thousand, three hundred twenty-nine".