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12223200303829 is a prime number
BaseRepresentation
bin1011000111011110111110…
…0000110001101011010101
31121021112012211211100002001
42301313233200301223111
53100231103234210304
641555132151115301
72401045204210204
oct261675740615325
947245184740061
1012223200303829
113992914a05719
121454b31072b31
136a8848430598
1430386b00d23b
15162e4806dda4
hexb1def831ad5

12223200303829 has 2 divisors, whose sum is σ = 12223200303830. Its totient is φ = 12223200303828.

The previous prime is 12223200303827. The next prime is 12223200303883. The reversal of 12223200303829 is 92830300232221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11530085777604 + 693114526225 = 3395598^2 + 832535^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223200303829 - 21 = 12223200303827 is a prime.

It is a super-2 number, since 2×122232003038292 (a number of 27 digits) contains 22 as substring.

Together with 12223200303827, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223200303827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111600151914 + 6111600151915.

It is an arithmetic number, because the mean of its divisors is an integer number (6111600151915).

Almost surely, 212223200303829 is an apocalyptic number.

It is an amenable number.

12223200303829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223200303829 is an equidigital number, since it uses as much as digits as its factorization.

12223200303829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 12223200303829 in words is "twelve trillion, two hundred twenty-three billion, two hundred million, three hundred three thousand, eight hundred twenty-nine".