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12213320022 = 2332383257461
BaseRepresentation
bin10110101111111100…
…00111100101010110
31011112011111221102000
423113332013211112
5200003102220042
65335525500130
7611441336001
oct132776074526
934464457360
1012213320022
1151a8112112
12244a271646
1311c84038a7
1483c0aa538
154b735b74c
hex2d7f87956

12213320022 has 128 divisors (see below), whose sum is σ = 28835896320. Its totient is φ = 3823902720.

The previous prime is 12213320011. The next prime is 12213320029. The reversal of 12213320022 is 22002331221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12213319977 and 12213320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213320029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26492872 + ... + 26493332.

It is an arithmetic number, because the mean of its divisors is an integer number (225280440).

Almost surely, 212213320022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213320022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14417948160).

12213320022 is an abundant number, since it is smaller than the sum of its proper divisors (16622576298).

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

12213320022 is a wasteful number, since it uses less digits than its factorization.

12213320022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12213320022 its reverse (22002331221), we get a palindrome (34215651243).

The spelling of 12213320022 in words is "twelve billion, two hundred thirteen million, three hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 83 138 166 207 249 257 414 461 498 514 621 747 771 922 1242 1383 1494 1542 1909 2241 2313 2766 3818 4149 4482 4626 5727 5911 6939 8298 10603 11454 11822 12447 13878 17181 17733 21206 21331 24894 31809 34362 35466 38263 42662 51543 53199 63618 63993 76526 95427 103086 106398 114789 118477 127986 159597 190854 191979 229578 236954 286281 319194 344367 355431 383958 490613 572562 575937 688734 710862 880049 981226 1033101 1066293 1151874 1471839 1760098 2066202 2132586 2640147 2724971 2943678 3198879 4415517 5280294 5449942 6397758 7920441 8174913 8831034 9833591 13246551 15840882 16349826 19667182 23761323 24524739 26493102 29500773 47522646 49049478 59001546 73574217 88502319 147148434 177004638 226172593 265506957 452345186 531013914 678517779 1357035558 2035553337 4071106674 6106660011 12213320022