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12220213311133 = 82151913286721
BaseRepresentation
bin1011000111010011110101…
…1110010011011010011101
31121021020111200021101101221
42301310331132103122131
53100203444101424013
641553515525333341
72400611164200532
oct261647536233235
947236450241357
1012220213311133
113991621919913
121454438867251
136a8490651699
14303666430d89
15162d20be908d
hexb1d3d79369d

12220213311133 has 8 divisors (see below), whose sum is σ = 12235376216376. Its totient is φ = 12205051084800.

The previous prime is 12220213311001. The next prime is 12220213311197. The reversal of 12220213311133 is 33111331202221.

It can be written as a sum of positive squares in 4 ways, for example, as 1331619065764 + 10888594245369 = 1153958^2 + 3299787^2 .

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 12220213311133 - 229 = 12219676440221 is a prime.

It is a super-2 number, since 2×122202133111332 (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 = 12220213311098 and 12220213311107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220213311433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42477213 + ... + 42763933.

It is an arithmetic number, because the mean of its divisors is an integer number (1529422027047).

Almost surely, 212220213311133 is an apocalyptic number.

It is an amenable number.

12220213311133 is a deficient number, since it is larger than the sum of its proper divisors (15162905243).

12220213311133 is an equidigital number, since it uses as much as digits as its factorization.

12220213311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339455.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12220213311133 its reverse (33111331202221), we get a palindrome (45331544513354).

The spelling of 12220213311133 in words is "twelve trillion, two hundred twenty billion, two hundred thirteen million, three hundred eleven thousand, one hundred thirty-three".

Divisors: 1 821 51913 286721 42620573 235397941 14884547273 12220213311133