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12220033013331 = 3111341694754279
BaseRepresentation
bin1011000111010011001010…
…1110100001011001010011
31121021020001010000022022120
42301310302232201121103
53100203111422411311
641553450005105323
72400603544532133
oct261646256413123
947236033008276
1012220033013331
11399153a073470
1214543a83b8243
136a84621a50b0
1430364a4daac3
15162d0ee82706
hexb1d32ba1653

12220033013331 has 32 divisors (see below), whose sum is σ = 19608744798720. Its totient is φ = 6669641068800.

The previous prime is 12220033013281. The next prime is 12220033013333. The reversal of 12220033013331 is 13331033002221.

12220033013331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12220033013331 - 26 = 12220033013267 is a prime.

It is a super-2 number, since 2×122200330133312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220033013333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347359551 + ... + 347394728.

It is an arithmetic number, because the mean of its divisors is an integer number (612773274960).

Almost surely, 212220033013331 is an apocalyptic number.

12220033013331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12220033013331 is a deficient number, since it is larger than the sum of its proper divisors (7388711785389).

12220033013331 is a wasteful number, since it uses less digits than its factorization.

12220033013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694754347.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12220033013331 its reverse (13331033002221), we get a palindrome (25551066015552).

The spelling of 12220033013331 in words is "twelve trillion, two hundred twenty billion, thirty-three million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 11 13 33 39 41 123 143 429 451 533 1353 1599 5863 17589 694754279 2084262837 7642297069 9031805627 22926891207 27095416881 28484925439 85454776317 99349861897 298049585691 313334179829 370304030707 940002539487 1110912092121 4073344337777 12220033013331