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22112221010020 = 2252395351864509
BaseRepresentation
bin1010000011100011001110…
…00101000001100001100100
32220021220111200221022222021
411001301213011001201210
510344241312034310040
6115010114124512524
74441361310253201
oct501614705014144
986256450838867
1022112221010020
1170558163286a9
1225915b60ab744
13c452342216cb
14566346c7aca8
152852c9e2824a
hex141c67141864

22112221010020 has 48 divisors (see below), whose sum is σ = 46638723801600. Its totient is φ = 8806224291200.

The previous prime is 22112221009981. The next prime is 22112221010057. The reversal of 22112221010020 is 2001012221122.

It is a happy number.

It is a super-3 number, since 3×221122210100203 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22112221009976 and 22112221010003.

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 15 ways as a sum of consecutive naturals, for example, 25145526 + ... + 26010034.

It is an arithmetic number, because the mean of its divisors is an integer number (971640079200).

Almost surely, 222112221010020 is an apocalyptic number.

22112221010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112221010020 is an abundant number, since it is smaller than the sum of its proper divisors (24526502791580).

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

22112221010020 is a wasteful number, since it uses less digits than its factorization.

22112221010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870108 (or 870106 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112221010020 its reverse (2001012221122), we get a palindrome (24113233231142).

The spelling of 22112221010020 in words is "twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 239 478 956 1195 2390 4780 5351 10702 21404 26755 53510 107020 864509 1278889 1729018 2557778 3458036 4322545 5115556 6394445 8645090 12788890 17290180 25577780 206617651 413235302 826470604 1033088255 2066176510 4132353020 4625987659 9251975318 18503950636 23129938295 46259876590 92519753180 1105611050501 2211222101002 4422444202004 5528055252505 11056110505010 22112221010020