Search a number
-
+
20121233220 = 22335113387413
BaseRepresentation
bin10010101111010100…
…011010011101000100
31220221021122112222000
4102233110122131010
5312202013430340
613124335505300
71311423442344
oct225724323504
956837575860
1020121233220
118595a03370
123a96688230
131b88843c7a
14d8c442d24
157cb716d30
hex4af51a744

20121233220 has 96 divisors (see below), whose sum is σ = 68290266240. Its totient is φ = 4877873280.

The previous prime is 20121233191. The next prime is 20121233233. The reversal of 20121233220 is 2233212102.

20121233220 is a `hidden beast` number, since 201 + 212 + 33 + 220 = 666.

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 = 20121233193 and 20121233202.

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 31 ways as a sum of consecutive naturals, for example, 1687767 + ... + 1699646.

It is an arithmetic number, because the mean of its divisors is an integer number (711356940).

Almost surely, 220121233220 is an apocalyptic number.

20121233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121233220 is an abundant number, since it is smaller than the sum of its proper divisors (48169033020).

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

20121233220 is a wasteful number, since it uses less digits than its factorization.

20121233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387442 (or 3387434 counting only the distinct ones).

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

Adding to 20121233220 its reverse (2233212102), we get a palindrome (22354445322).

It can be divided in two parts, 201212 and 33220, that added together give a palindrome (234432).

The spelling of 20121233220 in words is "twenty billion, one hundred twenty-one million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 3387413 6774826 10162239 13549652 16937065 20324478 30486717 33874130 37261543 40648956 50811195 60973434 67748260 74523086 91460151 101622390 111784629 121946868 149046172 152433585 182920302 186307715 203244780 223569258 304867170 335353887 365840604 372615430 447138516 457300755 558923145 609734340 670707774 745230860 914601510 1006061661 1117846290 1341415548 1676769435 1829203020 2012123322 2235692580 3353538870 4024246644 5030308305 6707077740 10060616610 20121233220