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20012122220 = 22517292298863
BaseRepresentation
bin10010101000110100…
…001100000001101100
31220122200100010210212
4102220310030001230
5311441100402340
613105441121552
71305630142436
oct225064140154
956580303725
1020012122220
11853a359692
123a660292b8
131b6c06044c
14d7bb5d656
157c1d62a65
hex4a8d0c06c

20012122220 has 96 divisors (see below), whose sum is σ = 46238169600. Its totient is φ = 7241601024.

The previous prime is 20012122177. The next prime is 20012122223. The reversal of 20012122220 is 2222121002.

It is a junction number, because it is equal to n+sod(n) for n = 20012122195 and 20012122204.

It is not an unprimeable number, because it can be changed into a prime (20012122223) 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 31 ways as a sum of consecutive naturals, for example, 2253509 + ... + 2262371.

It is an arithmetic number, because the mean of its divisors is an integer number (481647600).

Almost surely, 220012122220 is an apocalyptic number.

20012122220 is a gapful number since it is divisible by the number (20) 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 20012122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23119084800).

20012122220 is an abundant number, since it is smaller than the sum of its proper divisors (26226047380).

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

20012122220 is a wasteful number, since it uses less digits than its factorization.

20012122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9147 (or 9145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20012122220 its reverse (2222121002), we get a palindrome (22234243222).

The spelling of 20012122220 in words is "twenty billion, twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 229 290 340 458 493 580 916 986 1145 1972 2290 2465 3893 4580 4930 6641 7786 8863 9860 13282 15572 17726 19465 26564 33205 35452 38930 44315 66410 77860 88630 112897 132820 150671 177260 225794 257027 301342 451588 514054 564485 602684 753355 1028108 1128970 1285135 1506710 2029627 2257940 2570270 3013420 4059254 4369459 5140540 8118508 8738918 10148135 17477836 20296270 21847295 34503659 40592540 43694590 58859183 69007318 87389180 117718366 138014636 172518295 235436732 294295915 345036590 588591830 690073180 1000606111 1177183660 2001212222 4002424444 5003030555 10006061110 20012122220