Search a number
-
+
12212000010 = 2325727433727
BaseRepresentation
bin10110101111110010…
…00101010100001010
31011112002000212200200
423113321011110022
5200002233000020
65335441313030
7611424200400
oct132771052412
934462025620
1012212000010
1151a73a03a1
122449935776
1311c8060b12
1483bc45470
154b719a590
hex2d7e4550a

12212000010 has 144 divisors (see below), whose sum is σ = 36994703616. Its totient is φ = 2786809536.

The previous prime is 12211999999. The next prime is 12212000023. The reversal of 12212000010 is 1000021221.

12212000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12211999956 and 12212000001.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3274767 + ... + 3278493.

It is an arithmetic number, because the mean of its divisors is an integer number (256907664).

Almost surely, 212212000010 is an apocalyptic number.

12212000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497351808).

12212000010 is an abundant number, since it is smaller than the sum of its proper divisors (24782703606).

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

12212000010 is a wasteful number, since it uses less digits than its factorization.

12212000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12212000010 its reverse (1000021221), we get a palindrome (13212021231).

The spelling of 12212000010 in words is "twelve billion, two hundred twelve million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 743 882 1470 1486 2205 2229 3715 3727 4410 4458 5201 6687 7430 7454 10402 11145 11181 13374 15603 18635 22290 22362 26005 26089 31206 33435 33543 36407 37270 46809 52010 52178 55905 66870 67086 72814 78015 78267 93618 109221 111810 130445 156030 156534 167715 182035 182623 218442 234045 234801 260890 327663 335430 364070 365246 391335 468090 469602 546105 547869 655326 782670 913115 1092210 1095738 1174005 1638315 1643607 1826230 2348010 2739345 2769161 3276630 3287214 5478690 5538322 8218035 8307483 13845805 16436070 16614966 19384127 24922449 27691610 38768254 41537415 49844898 58152381 83074830 96920635 116304762 124612245 135688889 174457143 193841270 249224490 271377778 290761905 348914286 407066667 581523810 678444445 814133334 872285715 1221200001 1356888890 1744571430 2035333335 2442400002 4070666670 6106000005 12212000010