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12133423302 = 23711137432719
BaseRepresentation
bin10110100110011010…
…10101100011000110
31011022121011202201020
423103031111203012
5144322124021202
65323553212010
7606451252650
oct132315254306
934277152636
1012133423302
115167001570
122427561006
1311b49ab520
1483162d6d0
154b03285bc
hex2d33558c6

12133423302 has 128 divisors (see below), whose sum is σ = 32637911040. Its totient is φ = 2904128640.

The previous prime is 12133423301. The next prime is 12133423331. The reversal of 12133423302 is 20332433121.

12133423302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121334233022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133423301) 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 63 ways as a sum of consecutive naturals, for example, 4461099 + ... + 4463817.

It is an arithmetic number, because the mean of its divisors is an integer number (254983680).

Almost surely, 212133423302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133423302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318955520).

12133423302 is an abundant number, since it is smaller than the sum of its proper divisors (20504487738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133423302 is a wasteful number, since it uses less digits than its factorization.

12133423302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498.

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

Adding to 12133423302 its reverse (20332433121), we get a palindrome (32465856423).

The spelling of 12133423302 in words is "twelve billion, one hundred thirty-three million, four hundred twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 743 858 1001 1486 2002 2229 2719 3003 4458 5201 5438 6006 8157 8173 9659 10402 15603 16314 16346 19033 19318 24519 28977 29909 31206 35347 38066 49038 57099 57211 57954 59818 67613 70694 89727 106041 106249 114198 114422 135226 171633 179454 202839 209363 212082 212498 247429 318747 343266 388817 405678 418726 494858 628089 637494 742287 743743 777634 1166451 1256178 1484574 1487486 2020217 2231229 2332902 2721719 4040434 4462458 5443438 6060651 8165157 12121302 14141519 16330314 22222387 26262821 28283038 42424557 44444774 52525642 66667161 78788463 84849114 133334322 155556709 157576926 183839747 288891031 311113418 367679494 466670127 551519241 577782062 866673093 933340254 1103038482 1733346186 2022237217 4044474434 6066711651 12133423302