Search a number
-
+
12222122211 = 33131013071123
BaseRepresentation
bin10110110000111111…
…01100100011100011
31011112210002010202000
423120133230203203
5200012330402321
65340442255043
7611606216235
oct133037544343
934483063660
1012222122211
115202084352
1224511b7483
1311ca1961a0
1483d31c255
154b7ee9826
hex2d87ec8e3

12222122211 has 64 divisors (see below), whose sum is σ = 19774487040. Its totient is φ = 7415971200.

The previous prime is 12222122207. The next prime is 12222122221. The reversal of 12222122211 is 11222122221.

It is a happy number.

It is not a de Polignac number, because 12222122211 - 22 = 12222122207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12222122201) 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 63 ways as a sum of consecutive naturals, for example, 10882896 + ... + 10884018.

It is an arithmetic number, because the mean of its divisors is an integer number (308976360).

Almost surely, 212222122211 is an apocalyptic number.

12222122211 is a deficient number, since it is larger than the sum of its proper divisors (7552364829).

12222122211 is a wasteful number, since it uses less digits than its factorization.

12222122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 12222122211 its reverse (11222122221), we get a palindrome (23444244432).

The spelling of 12222122211 in words is "twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 13 27 39 101 117 303 307 351 909 921 1123 1313 2727 2763 3369 3939 3991 8289 10107 11817 11973 14599 30321 31007 35451 35919 43797 93021 107757 113423 131391 279063 340269 344761 394173 403091 837189 1020807 1034283 1209273 1474499 3062421 3102849 3627819 4423497 4481893 9308547 10883457 13270491 13445679 34820861 39811473 40337037 104462583 121011111 313387749 452671193 940163247 1358013579 4074040737 12222122211