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12213201102233 = 174119457900577
BaseRepresentation
bin1011000110111001101110…
…0000110110010110011001
31121020120101222120021011012
42301232123200312112121
53100100113440232413
641550400033343305
72400242336332025
oct261563340662631
947216358507135
1012213201102233
11398965369654a
121453000407b35
136a7913962651
1430319d017385
15162a602bc7a8
hexb1b9b836599

12213201102233 has 16 divisors (see below), whose sum is σ = 13247725723344. Its totient is φ = 11213828259840.

The previous prime is 12213201102203. The next prime is 12213201102257. The reversal of 12213201102233 is 33220110231221.

It can be written as a sum of positive squares in 8 ways, for example, as 16008069529 + 12197193032704 = 126523^2 + 3492448^2 .

It is a cyclic number.

It is not a de Polignac number, because 12213201102233 - 210 = 12213201101209 is a prime.

It is a super-2 number, since 2×122132011022332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12213201102199 and 12213201102208.

It is not an unprimeable number, because it can be changed into a prime (12213201102203) 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 15 ways as a sum of consecutive naturals, for example, 13111241 + ... + 14011817.

It is an arithmetic number, because the mean of its divisors is an integer number (827982857709).

Almost surely, 212213201102233 is an apocalyptic number.

It is an amenable number.

12213201102233 is a deficient number, since it is larger than the sum of its proper divisors (1034524621111).

12213201102233 is a wasteful number, since it uses less digits than its factorization.

12213201102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920092.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12213201102233 its reverse (33220110231221), we get a palindrome (45433311333454).

The spelling of 12213201102233 in words is "twelve trillion, two hundred thirteen billion, two hundred one million, one hundred two thousand, two hundred thirty-three".

Divisors: 1 17 41 697 19457 330769 797737 900577 13561529 15309809 36923657 627702169 17522526689 297882953713 718423594249 12213201102233