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12220340010 = 235171911232
BaseRepresentation
bin10110110000110001…
…11001011100101010
31011112122201121000120
423120120321130222
5200011401340020
65340340144110
7611555114304
oct133030713452
934478647016
1012220340010
11520107735a
122450698036
1311c99c0c28
1483cdb6974
154b7c96740
hex2d863972a

12220340010 has 96 divisors (see below), whose sum is σ = 32717597760. Its totient is φ = 2903053824.

The previous prime is 12220340003. The next prime is 12220340021. The reversal of 12220340010 is 1004302221.

12220340010 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 (15).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10881309 + ... + 10882431.

It is an arithmetic number, because the mean of its divisors is an integer number (340808310).

Almost surely, 212220340010 is an apocalyptic number.

12220340010 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 12220340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358798880).

12220340010 is an abundant number, since it is smaller than the sum of its proper divisors (20497257750).

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

12220340010 is a wasteful number, since it uses less digits than its factorization.

12220340010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12220340010 its reverse (1004302221), we get a palindrome (13224642231).

The spelling of 12220340010 in words is "twelve billion, two hundred twenty million, three hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 570 646 969 1123 1615 1938 2246 3230 3369 4845 5615 6738 9690 11230 16845 19091 21337 33690 38182 42674 57273 64011 95455 106685 114546 128022 190910 213370 286365 320055 362729 572730 640110 725458 1088187 1261129 1813645 2176374 2522258 3627290 3783387 5440935 6305645 7566774 10881870 12611290 18916935 21439193 23961451 37833870 42878386 47922902 64317579 71884353 107195965 119807255 128635158 143768706 214391930 239614510 321587895 359421765 407344667 643175790 718843530 814689334 1222034001 2036723335 2444068002 4073446670 6110170005 12220340010