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12223232131 = 118313387987
BaseRepresentation
bin10110110001000111…
…11011100010000011
31011112212011112021011
423120203323202003
5200013121412011
65340522141351
7611621521165
oct133043734203
934485145234
1012223232131
115202772240
122451651857
1311ca494446
1483d52a935
154b8168621
hex2d88fb883

12223232131 has 8 divisors (see below), whose sum is σ = 13495091904. Its totient is φ = 10978148520.

The previous prime is 12223232111. The next prime is 12223232173. The reversal of 12223232131 is 13123232221.

12223232131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12223232131 - 215 = 12223199363 is a prime.

It is a super-3 number, since 3×122232321313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12223232111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6693081 + ... + 6694906.

It is an arithmetic number, because the mean of its divisors is an integer number (1686886488).

Almost surely, 212223232131 is an apocalyptic number.

12223232131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12223232131 is a deficient number, since it is larger than the sum of its proper divisors (1271859773).

12223232131 is a wasteful number, since it uses less digits than its factorization.

12223232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13388081.

The product of its digits is 864, while the sum is 22.

Adding to 12223232131 its reverse (13123232221), we get a palindrome (25346464352).

The spelling of 12223232131 in words is "twelve billion, two hundred twenty-three million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 83 913 13387987 147267857 1111202921 12223232131