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12333110412 = 22372413591697
BaseRepresentation
bin10110111110001110…
…00101010010001100
31011211111220220221010
423133013011102030
5200224234013122
65355445205220
7614424465060
oct133707052214
934744826833
1012333110412
1152597a0437
122482400810
13121718628c
1484dd6daa0
154c2b1ee0c
hex2df1c548c

12333110412 has 96 divisors (see below), whose sum is σ = 33136266240. Its totient is φ = 3497287680.

The previous prime is 12333110399. The next prime is 12333110417. The reversal of 12333110412 is 21401133321.

12333110412 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 2×123331104122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12333110417) 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 31 ways as a sum of consecutive naturals, for example, 7266748 + ... + 7268444.

It is an arithmetic number, because the mean of its divisors is an integer number (345169440).

Almost surely, 212333110412 is an apocalyptic number.

12333110412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12333110412 is an abundant number, since it is smaller than the sum of its proper divisors (20803155828).

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

12333110412 is a wasteful number, since it uses less digits than its factorization.

12333110412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12333110412 its reverse (21401133321), we get a palindrome (33734243733).

The spelling of 12333110412 in words is "twelve billion, three hundred thirty-three million, one hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 359 482 718 723 964 1077 1436 1446 1687 1697 2154 2513 2892 3374 3394 4308 5026 5061 5091 6748 6788 7539 10052 10122 10182 11879 15078 20244 20364 23758 30156 35637 47516 71274 86519 142548 173038 259557 346076 408977 519114 605633 609223 817954 1038228 1211266 1218446 1226931 1635908 1816899 1827669 2422532 2436892 2453862 2862839 3633798 3655338 4264561 4907724 5725678 7267596 7310676 8529122 8588517 11451356 12793683 17058244 17177034 25587366 34354068 51174732 146822743 293645486 440468229 587290972 880936458 1027759201 1761872916 2055518402 3083277603 4111036804 6166555206 12333110412