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12213323121233 = 137673312243577
BaseRepresentation
bin1011000110111010001011…
…0010010100001001010001
31121020120201111011110202102
42301232202302110021101
53100100341204334413
641550420112530145
72400245350432403
oct261564262241121
947216644143672
1012213323121233
1139897065571a3
121453035250955
136a7933015540
143031b12dab73
15162a6ad71458
hexb1ba2c94251

12213323121233 has 8 divisors (see below), whose sum is σ = 13152981999528. Its totient is φ = 11273688883584.

The previous prime is 12213323121133. The next prime is 12213323121239. The reversal of 12213323121233 is 33212132331221.

It can be written as a sum of positive squares in 4 ways, for example, as 8295742134289 + 3917580986944 = 2880233^2 + 1979288^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12213323121233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12213323121196 and 12213323121205.

It is not an unprimeable number, because it can be changed into a prime (12213323121239) 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 in 7 ways as a sum of consecutive naturals, for example, 5124260 + ... + 7119317.

It is an arithmetic number, because the mean of its divisors is an integer number (1644122749941).

Almost surely, 212213323121233 is an apocalyptic number.

12213323121233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12213323121233 is a deficient number, since it is larger than the sum of its proper divisors (939658878295).

12213323121233 is a wasteful number, since it uses less digits than its factorization.

12213323121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320323.

The product of its digits is 7776, while the sum is 29.

Adding to 12213323121233 its reverse (33212132331221), we get a palindrome (45425455452454).

The spelling of 12213323121233 in words is "twelve trillion, two hundred thirteen billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 13 76733 997529 12243577 159166501 939486393941 12213323121233