Search a number
-
+
22120032221100 = 223252112234346689
BaseRepresentation
bin1010000011110001110001…
…01010011011011110101100
32220022122200002002222011100
411001320320222123132230
510344403311222033400
6115013445202123100
74442056006411302
oct501707052333654
986278602088140
1022120032221100
117059064580150
122593016050490
13c45baa6043b8
14566888440272
152855d5a81100
hex141e38a9b7ac

22120032221100 has 108 divisors (see below), whose sum is σ = 75637104149880. Its totient is φ = 5362432051200.

The previous prime is 22120032221071. The next prime is 22120032221129. The reversal of 22120032221100 is 112223002122.

22120032221100 is a `hidden beast` number, since 2 + 21 + 200 + 322 + 21 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (22120032221071) and next prime (22120032221129).

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 (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1117163445 + ... + 1117183244.

Almost surely, 222120032221100 is an apocalyptic number.

22120032221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120032221100 is an abundant number, since it is smaller than the sum of its proper divisors (53517071928780).

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

22120032221100 is a wasteful number, since it uses less digits than its factorization.

22120032221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234346720 (or 2234346710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22120032221100 its reverse (112223002122), we get a palindrome (22232255223222).

The spelling of 22120032221100 in words is "twenty-two trillion, one hundred twenty billion, thirty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 2234346689 4468693378 6703040067 8937386756 11171733445 13406080134 20109120201 22343466890 24577813579 26812160268 33515200335 40218240402 44686933780 49155627158 55858667225 67030400670 73733440737 80436480804 98311254316 100545601005 111717334450 122889067895 134060801340 147466881474 167576001675 201091202010 221200322211 223434668900 245778135790 294933762948 335152003350 368667203685 402182404020 442400644422 491556271580 502728005025 614445339475 670304006700 737334407370 884801288844 1005456010050 1106001611055 1228890678950 1474668814740 1843336018425 2010912020100 2212003222110 2457781357900 3686672036850 4424006444220 5530008055275 7373344073700 11060016110550 22120032221100