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12211212201313 = 124332865734273
BaseRepresentation
bin1011000110110010010011…
…1101110010110101100001
31121020101021101002122000011
42301230210331302311201
53100032030310420223
641545430424324521
72400142136055046
oct261544475626541
947211241078004
1012211212201313
113988822a3a884
121452746313741
136a76878a31b8
14303050c0b1cd
1516299589d80d
hexb1b24f72d61

12211212201313 has 8 divisors (see below), whose sum is σ = 12212976846728. Its totient is φ = 12209447706624.

The previous prime is 12211212201311. The next prime is 12211212201337. The reversal of 12211212201313 is 31310221211221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 837267090529 + 11373945110784 = 915023^2 + 3372528^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12211212201313 - 21 = 12211212201311 is a prime.

It is a super-2 number, since 2×122112122013132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211212201311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356275345 + ... + 356309617.

It is an arithmetic number, because the mean of its divisors is an integer number (1526622105841).

Almost surely, 212211212201313 is an apocalyptic number.

It is an amenable number.

12211212201313 is a deficient number, since it is larger than the sum of its proper divisors (1764645415).

12211212201313 is a wasteful number, since it uses less digits than its factorization.

12211212201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75363.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12211212201313 its reverse (31310221211221), we get a palindrome (43521433412534).

The spelling of 12211212201313 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, three hundred thirteen".

Divisors: 1 12433 28657 34273 356292481 426116209 982161361 12211212201313