Search a number
-
+
12220030131210 = 23251119649656041
BaseRepresentation
bin1011000111010011001010…
…0011100001110000001010
31121021020000220120212210100
42301310302203201300022
53100203110203144320
641553445423230230
72400603511166346
oct261646243416012
947236026525710
1012220030131210
113991538485050
1214543a7448376
136a84617062b5
14303649d8a626
15162d0eab3790
hexb1d328e1c0a

12220030131210 has 96 divisors (see below), whose sum is σ = 36484683318720. Its totient is φ = 2806514092800.

The previous prime is 12220030131181. The next prime is 12220030131251. The reversal of 12220030131210 is 1213103002221.

12220030131210 is a `hidden beast` number, since 1 + 22 + 20 + 0 + 301 + 312 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324809211 + ... + 324846830.

It is an arithmetic number, because the mean of its divisors is an integer number (380048784570).

Almost surely, 212220030131210 is an apocalyptic number.

12220030131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12220030131210 is an abundant number, since it is smaller than the sum of its proper divisors (24264653187510).

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

12220030131210 is a wasteful number, since it uses less digits than its factorization.

12220030131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649656084 (or 649656081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12220030131210 its reverse (1213103002221), we get a palindrome (13433133133431).

The spelling of 12220030131210 in words is "twelve trillion, two hundred twenty billion, thirty million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 18810 649656041 1299312082 1948968123 3248280205 3897936246 5846904369 6496560410 7146216451 9744840615 11693808738 12343464779 14292432902 19489681230 21438649353 24686929558 29234521845 35731082255 37030394337 42877298706 58469043690 61717323895 64315948059 71462164510 74060788674 107193246765 111091183011 123434647790 128631896118 135778112569 185151971685 214386493530 222182366022 271556225138 321579740295 370303943370 407334337707 555455915055 643159480590 678890562845 814668675414 1110911830110 1222003013121 1357781125690 2036671688535 2444006026242 4073343377070 6110015065605 12220030131210