Search a number
-
+
12213966380 = 22572118591319
BaseRepresentation
bin10110110000000001…
…00101011000101100
31011112012201210001012
423120000211120230
5200003233411010
65335551404352
7611450000300
oct133000453054
934465653035
1012213966380
1151a85137a0
12244a5236b8
1311c859bb55
1483c1d7d00
154b7438005
hex2d802562c

12213966380 has 144 divisors (see below), whose sum is σ = 32612025600. Its totient is φ = 3799635840.

The previous prime is 12213966307. The next prime is 12213966389. The reversal of 12213966380 is 8366931221.

It is not an unprimeable number, because it can be changed into a prime (12213966389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9259361 + ... + 9260679.

It is an arithmetic number, because the mean of its divisors is an integer number (226472400).

Almost surely, 212213966380 is an apocalyptic number.

12213966380 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 12213966380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16306012800).

12213966380 is an abundant number, since it is smaller than the sum of its proper divisors (20398059220).

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

12213966380 is a wasteful number, since it uses less digits than its factorization.

12213966380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 12213966380 in words is "twelve billion, two hundred thirteen million, nine hundred sixty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 859 980 1078 1319 1540 1718 2156 2638 2695 3436 4295 5276 5390 6013 6595 8590 9233 9449 10780 12026 13190 14509 17180 18466 18898 24052 26380 29018 30065 36932 37796 42091 46165 47245 58036 60130 64631 66143 72545 84182 92330 94490 101563 120260 129262 132286 145090 168364 184660 188980 203126 210455 258524 264572 290180 323155 330715 406252 420910 463001 507815 646310 661430 710941 841820 926002 1015630 1133021 1292620 1322860 1421882 1852004 2031260 2266042 2315005 2843764 3554705 4532084 4630010 5665105 7109410 7931147 9260020 11330210 12463231 14218820 15862294 22660420 24926462 31724588 39655735 49852924 55518029 62316155 79311470 87242617 111036058 124632310 158622940 174485234 222072116 249264620 277590145 348970468 436213085 555180290 610698319 872426170 1110360580 1221396638 1744852340 2442793276 3053491595 6106983190 12213966380