Search a number
-
+
22112212010020 = 22511617367344351
BaseRepresentation
bin1010000011100011001101…
…00010101100010000100100
32220021220111002000002021221
411001301212202230100210
510344241302233310040
6115010113203550124
74441361140620136
oct501614642542044
986256432002257
1022112212010020
117055811240890
1225915b308b344
13c452323c0072
145663459b7056
152852c924b74a
hex141c668ac424

22112212010020 has 96 divisors (see below), whose sum is σ = 50754128173056. Its totient is φ = 8025405696000.

The previous prime is 22112212009981. The next prime is 22112212010041. The reversal of 22112212010020 is 2001021221122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22112212009976 and 22112212010003.

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, 498550845 + ... + 498595195.

It is an arithmetic number, because the mean of its divisors is an integer number (528688835136).

Almost surely, 222112212010020 is an apocalyptic number.

22112212010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112212010020 is an abundant number, since it is smaller than the sum of its proper divisors (28641916163036).

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

22112212010020 is a wasteful number, since it uses less digits than its factorization.

22112212010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48661 (or 48659 counting only the distinct ones).

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

Adding to 22112212010020 its reverse (2001021221122), we get a palindrome (24113233231142).

The spelling of 22112212010020 in words is "twenty-two trillion, one hundred twelve billion, two hundred twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 617 1234 2468 3085 3673 6170 6787 7346 12340 13574 14692 18365 27148 33935 36730 40403 44351 67870 73460 80806 88702 135740 161612 177404 202015 221755 404030 443510 487861 808060 887020 975722 1951444 2266241 2439305 4532482 4878610 9064964 9757220 11331205 22662410 24928651 27364567 45324820 49857302 54729134 99714604 109458268 124643255 136822835 162901223 249286510 273645670 301010237 325802446 498573020 547291340 602020474 651604892 814506115 1204040948 1505051185 1629012230 1791913453 3010102370 3258024460 3583826906 6020204740 7167653812 8959567265 17919134530 35838269060 100510054591 201020109182 402040218364 502550272955 1005100545910 1105610600501 2010201091820 2211221201002 4422442402004 5528053002505 11056106005010 22112212010020