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22233123313 is a prime number
BaseRepresentation
bin10100101101001100…
…101000100111110001
32010101110112200112121
4110231030220213301
5331013134421223
614114100554241
71414646300332
oct245514504761
963343480477
1022233123313
11947a022685
1243859b2981
132134235a8b
14110cb06289
158a1d2c15d
hex52d3289f1

22233123313 has 2 divisors, whose sum is σ = 22233123314. Its totient is φ = 22233123312.

The previous prime is 22233123307. The next prime is 22233123343. The reversal of 22233123313 is 31332133222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21839815089 + 393308224 = 147783^2 + 19832^2 .

It is a cyclic number.

It is not a de Polignac number, because 22233123313 - 25 = 22233123281 is a prime.

It is not a weakly prime, because it can be changed into another prime (22233123343) 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, 11116561656 + 11116561657.

It is an arithmetic number, because the mean of its divisors is an integer number (11116561657).

Almost surely, 222233123313 is an apocalyptic number.

It is an amenable number.

22233123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22233123313 is an equidigital number, since it uses as much as digits as its factorization.

22233123313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 25.

Adding to 22233123313 its reverse (31332133222), we get a palindrome (53565256535).

Subtracting 22233123313 from its reverse (31332133222), we obtain a palindrome (9099009909).

The spelling of 22233123313 in words is "twenty-two billion, two hundred thirty-three million, one hundred twenty-three thousand, three hundred thirteen".