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12222332331 = 3112193734751
BaseRepresentation
bin10110110001000000…
…11111110110101011
31011112210110210222020
423120200133312223
5200012404113311
65340450555523
7611611052646
oct133040376653
934483423866
1012222332331
115202208200
122451298ba3
1311ca23aa11
1483d374a5d
154b803bc06
hex2d881fdab

12222332331 has 48 divisors (see below), whose sum is σ = 18909918720. Its totient is φ = 6997320000.

The previous prime is 12222332327. The next prime is 12222332333. The reversal of 12222332331 is 13323322221.

It is not a de Polignac number, because 12222332331 - 22 = 12222332327 is a prime.

It is a super-2 number, since 2×122223323312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12222332333) 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 47 ways as a sum of consecutive naturals, for example, 2570206 + ... + 2574956.

It is an arithmetic number, because the mean of its divisors is an integer number (393956640).

Almost surely, 212222332331 is an apocalyptic number.

12222332331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12222332331 is a deficient number, since it is larger than the sum of its proper divisors (6687586389).

12222332331 is a wasteful number, since it uses less digits than its factorization.

12222332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5157 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 12222332331 its reverse (13323322221), we get a palindrome (25545654552).

The spelling of 12222332331 in words is "twelve billion, two hundred twenty-two million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 19 33 57 121 209 363 373 627 1119 2299 4103 4751 6897 7087 12309 14253 21261 45133 52261 77957 90269 135399 156783 233871 270807 574871 857527 992959 1724613 1772123 2572581 2978877 5316369 10922549 19493353 32767647 33670337 58480059 101011011 214426883 370373707 643280649 1111121121 4074110777 12222332331