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12331033011 = 32111749914683
BaseRepresentation
bin10110111101111110…
…01010000110110011
31011211101000101021100
423132333022012303
5200223221024021
65355332455443
7614401023363
oct133677120663
934741011240
1012331033011
115258601680
12248177a583
13121690984b
1484d98c9a3
154c285e626
hex2defca1b3

12331033011 has 48 divisors (see below), whose sum is σ = 20616336000. Its totient is φ = 7019170560.

The previous prime is 12331033009. The next prime is 12331033019. The reversal of 12331033011 is 11033013321.

It is a happy number.

12331033011 is a `hidden beast` number, since 1 + 2 + 331 + 0 + 330 + 1 + 1 = 666.

It is not a de Polignac number, because 12331033011 - 21 = 12331033009 is a prime.

It is a super-2 number, since 2×123310330112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12331033019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 832476 + ... + 847158.

It is an arithmetic number, because the mean of its divisors is an integer number (429507000).

Almost surely, 212331033011 is an apocalyptic number.

12331033011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12331033011 is a deficient number, since it is larger than the sum of its proper divisors (8285302989).

12331033011 is a wasteful number, since it uses less digits than its factorization.

12331033011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15216 (or 15213 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12331033011 its reverse (11033013321), we get a palindrome (23364046332).

The spelling of 12331033011 in words is "twelve billion, three hundred thirty-one million, thirty-three thousand, eleven".

Divisors: 1 3 9 11 17 33 51 99 153 187 499 561 1497 1683 4491 5489 8483 14683 16467 25449 44049 49401 76347 93313 132147 161513 249611 279939 484539 748833 839817 1453617 2246499 2745721 7326817 8237163 21980451 24711489 65941353 80594987 124555889 241784961 373667667 725354883 1121003001 1370114779 4110344337 12331033011