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2312312221 is a prime number
BaseRepresentation
bin1000100111010011…
…0001010110011101
312222011000122001101
42021310301112131
514213422442341
61021240513101
7111205221022
oct21164612635
95864018041
102312312221
11a8727043a
1254647b791
132ab0962ab
1417d155549
15d8004831
hex89d3159d

2312312221 has 2 divisors, whose sum is σ = 2312312222. Its totient is φ = 2312312220.

The previous prime is 2312312173. The next prime is 2312312231. The reversal of 2312312221 is 1222132132.

2312312221 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., 1834408900 + 477903321 = 42830^2 + 21861^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312312221 - 29 = 2312311709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2312312231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156156110 + 1156156111.

It is an arithmetic number, because the mean of its divisors is an integer number (1156156111).

Almost surely, 22312312221 is an apocalyptic number.

It is an amenable number.

2312312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312312221 is an equidigital number, since it uses as much as digits as its factorization.

2312312221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 19.

The square root of 2312312221 is about 48086.5076814692. The cubic root of 2312312221 is about 1322.3573236685.

Adding to 2312312221 its reverse (1222132132), we get a palindrome (3534444353).

It can be divided in two parts, 23123 and 12221, that added together give a square (35344 = 1882).

The spelling of 2312312221 in words is "two billion, three hundred twelve million, three hundred twelve thousand, two hundred twenty-one".