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2223312101 is a prime number
BaseRepresentation
bin1000010010000101…
…0000110011100101
312201221112221211122
42010201100303211
514023131441401
61004341143325
7106044561323
oct20441206345
95657487748
102223312101
11a4100231a
125206bab45
132958044ba
141713c8d13
15d02c421b
hex84850ce5

2223312101 has 2 divisors, whose sum is σ = 2223312102. Its totient is φ = 2223312100.

The previous prime is 2223312083. The next prime is 2223312103. The reversal of 2223312101 is 1012133222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107728100 + 115584001 = 45910^2 + 10751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223312101 is a prime.

Together with 2223312103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2223312101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223312103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111656050 + 1111656051.

It is an arithmetic number, because the mean of its divisors is an integer number (1111656051).

Almost surely, 22223312101 is an apocalyptic number.

It is an amenable number.

2223312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223312101 is an equidigital number, since it uses as much as digits as its factorization.

2223312101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2223312101 is about 47152.0105721909. The cubic root of 2223312101 is about 1305.1691820805.

Adding to 2223312101 its reverse (1012133222), we get a palindrome (3235445323).

The spelling of 2223312101 in words is "two billion, two hundred twenty-three million, three hundred twelve thousand, one hundred one".