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12233313300 = 223521325112497
BaseRepresentation
bin10110110010010100…
…11000110000010100
31011120120010201000210
423121022120300110
5200023212011200
65341522205420
7612103306305
oct133112306024
934516121023
1012233313300
11520842838a
122454ab3870
1311cc5b3c30
148409d27ac
154b8eaa650
hex2d9298c14

12233313300 has 144 divisors (see below), whose sum is σ = 38272675392. Its totient is φ = 2999040000.

The previous prime is 12233313263. The next prime is 12233313307. The reversal of 12233313300 is 331333221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233313307) 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, 972652 + ... + 985148.

It is an arithmetic number, because the mean of its divisors is an integer number (265782468).

Almost surely, 212233313300 is an apocalyptic number.

12233313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12233313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136337696).

12233313300 is an abundant number, since it is smaller than the sum of its proper divisors (26039362092).

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

12233313300 is a wasteful number, since it uses less digits than its factorization.

12233313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12771 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12233313300 its reverse (331333221), we get a palindrome (12564646521).

The spelling of 12233313300 in words is "twelve billion, two hundred thirty-three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 251 260 300 325 390 502 650 753 780 975 1004 1255 1300 1506 1950 2510 3012 3263 3765 3900 5020 6275 6526 7530 9789 12497 12550 13052 15060 16315 18825 19578 24994 25100 32630 37491 37650 39156 48945 49988 62485 65260 74982 75300 81575 97890 124970 149964 162461 163150 187455 195780 244725 249940 312425 324922 326300 374910 487383 489450 624850 649844 749820 812305 937275 974766 978900 1249700 1624610 1874550 1949532 2436915 3136747 3249220 3749100 4061525 4873830 6273494 8123050 9410241 9747660 12184575 12546988 15683735 16246100 18820482 24369150 31367470 37640964 40777711 47051205 48738300 62734940 78418675 81555422 94102410 122333133 156837350 163110844 188204820 203888555 235256025 244666266 313674700 407777110 470512050 489332532 611665665 815554220 941024100 1019442775 1223331330 2038885550 2446662660 3058328325 4077771100 6116656650 12233313300