Search a number
-
+
2310221122249 is a prime number
BaseRepresentation
bin100001100111100011111…
…010001100101011001001
322011212002021121200112111
4201213203322030223021
5300322313101402444
64525145000142321
7325623301351555
oct41474372145311
98155067550474
102310221122249
11810839661557
123138a04679a1
13139b11b218c1
147db5b274865
1540162b77234
hex219e3e8cac9

2310221122249 has 2 divisors, whose sum is σ = 2310221122250. Its totient is φ = 2310221122248.

The previous prime is 2310221122189. The next prime is 2310221122259. The reversal of 2310221122249 is 9422211220132.

It is a happy number.

2310221122249 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., 1296564814224 + 1013656308025 = 1138668^2 + 1006805^2 .

It is a cyclic number.

It is not a de Polignac number, because 2310221122249 - 219 = 2310220597961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2310221122249.

It is not a weakly prime, because it can be changed into another prime (2310221122259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155110561124 + 1155110561125.

It is an arithmetic number, because the mean of its divisors is an integer number (1155110561125).

Almost surely, 22310221122249 is an apocalyptic number.

It is an amenable number.

2310221122249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2310221122249 is an equidigital number, since it uses as much as digits as its factorization.

2310221122249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 2310221122249 in words is "two trillion, three hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred forty-nine".