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22010200222120 = 23511183397272759
BaseRepresentation
bin1010000000100101001100…
…01010100110100110101000
32212221011011200211022212021
411000102212022212212220
510341103342224101440
6114451202453154224
74431120165002605
oct500224612464650
985834150738767
1022010200222120
117016523247760
12257588362b974
13c38725b699a6
145614296ad6ac
152828085c184a
hex1404a62a69a8

22010200222120 has 64 divisors (see below), whose sum is σ = 54025529558400. Its totient is φ = 8003636186880.

The previous prime is 22010200222111. The next prime is 22010200222123. The reversal of 22010200222120 is 2122200201022.

It is a super-2 number, since 2×220102002221202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22010200222094 and 22010200222103.

It is not an unprimeable number, because it can be changed into a prime (22010200222123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 80558301 + ... + 80831059.

It is an arithmetic number, because the mean of its divisors is an integer number (844148899350).

Almost surely, 222010200222120 is an apocalyptic number.

22010200222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010200222120 is an abundant number, since it is smaller than the sum of its proper divisors (32015329336280).

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

22010200222120 is a wasteful number, since it uses less digits than its factorization.

22010200222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456178 (or 456174 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22010200222120 its reverse (2122200201022), we get a palindrome (24132400423142).

The spelling of 22010200222120 in words is "twenty-two trillion, ten billion, two hundred million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 183397 272759 366794 545518 733588 916985 1091036 1363795 1467176 1833970 2017367 2182072 2727590 3000349 3667940 4034734 5455180 6000698 7335880 8069468 10086835 10910360 12001396 15001745 16138936 20173670 24002792 30003490 40347340 60006980 80694680 120013960 50023182323 100046364646 200092729292 250115911615 400185458584 500231823230 550255005553 1000463646460 1100510011106 2000927292920 2201020022212 2751275027765 4402040044424 5502550055530 11005100111060 22010200222120