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12213002220313 = 291897132219869
BaseRepresentation
bin1011000110111000111110…
…1010001011001100011001
31121020112220010100000110011
42301232033222023030121
53100044212032022223
641550324210521521
72400234403012246
oct261561752131431
947215803300404
1012213002220313
1139895613a7624
121452b658962a1
136a78b16aa23b
143031808465cd
15162a4cad480d
hexb1b8fa8b319

12213002220313 has 8 divisors (see below), whose sum is σ = 12634212515400. Its totient is φ = 11791796744448.

The previous prime is 12213002220301. The next prime is 12213002220383. The reversal of 12213002220313 is 31302220031221.

It can be written as a sum of positive squares in 4 ways, for example, as 278105405449 + 11934896814864 = 527357^2 + 3454692^2 .

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 12213002220313 - 213 = 12213002212121 is a prime.

It is a super-3 number, since 3×122130022203133 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12213002220383) 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, 4391743 + ... + 6611611.

It is an arithmetic number, because the mean of its divisors is an integer number (1579276564425).

Almost surely, 212213002220313 is an apocalyptic number.

It is an amenable number.

12213002220313 is a deficient number, since it is larger than the sum of its proper divisors (421210295087).

12213002220313 is a wasteful number, since it uses less digits than its factorization.

12213002220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409611.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12213002220313 its reverse (31302220031221), we get a palindrome (43515222251534).

The spelling of 12213002220313 in words is "twelve trillion, two hundred thirteen billion, two million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 29 189713 2219869 5501677 64376201 421138007597 12213002220313