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112233211313 is a prime number
BaseRepresentation
bin110100010000110011…
…1101110010110110001
3101201200201120212101012
41220201213232112301
53314323200230223
6123320443120305
711052146361416
oct1504147562661
9351621525335
10112233211313
11436637a38a3
1219902813095
13a778089112
145609a2810d
152dbd1c4c78
hex1a219ee5b1

112233211313 has 2 divisors, whose sum is σ = 112233211314. Its totient is φ = 112233211312.

The previous prime is 112233211303. The next prime is 112233211381. The reversal of 112233211313 is 313112332211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87209767969 + 25023443344 = 295313^2 + 158188^2 .

It is a cyclic number.

It is not a de Polignac number, because 112233211313 - 220 = 112232162737 is a prime.

It is a super-2 number, since 2×1122332113132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112233211303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56116605656 + 56116605657.

It is an arithmetic number, because the mean of its divisors is an integer number (56116605657).

Almost surely, 2112233211313 is an apocalyptic number.

It is an amenable number.

112233211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112233211313 is an equidigital number, since it uses as much as digits as its factorization.

112233211313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 112233211313 its reverse (313112332211), we get a palindrome (425345543524).

The spelling of 112233211313 in words is "one hundred twelve billion, two hundred thirty-three million, two hundred eleven thousand, three hundred thirteen".