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222102111202020 = 223257225181645261
BaseRepresentation
bin110010100000000000101101…
…011100010010101011100100
31002010101202101000011221011100
4302200000231130102223210
5213102410110431431040
62104212145030040100
764532230235624100
oct6240005534225344
91063352330157140
10222102111202020
116484aa81646625
1220ab0a637a9030
1396c11a6b2727a
143cbbb29d16900
151aa25bb668b30
hexca002d712ae4

222102111202020 has 108 divisors (see below), whose sum is σ = 783703163843964. Its totient is φ = 50766196844160.

The previous prime is 222102111201977. The next prime is 222102111202091. The reversal of 222102111202020 is 20202111201222.

It is a happy number.

222102111202020 is a `hidden beast` number, since 22 + 210 + 211 + 1 + 20 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69956596368036 + 152145514833984 = 8364006^2 + 12334728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222102111201984 and 222102111202002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12590813811 + ... + 12590831450.

It is an arithmetic number, because the mean of its divisors is an integer number (7256510776333).

Almost surely, 2222102111202020 is an apocalyptic number.

222102111202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222102111202020 is an abundant number, since it is smaller than the sum of its proper divisors (561601052641944).

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

222102111202020 is a wasteful number, since it uses less digits than its factorization.

222102111202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25181645290 (or 25181645278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222102111202020 its reverse (20202111201222), we get a palindrome (242304222403242).

The spelling of 222102111202020 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred eleven million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 25181645261 50363290522 75544935783 100726581044 125908226305 151089871566 176271516827 226634807349 251816452610 302179743132 352543033654 377724678915 453269614698 503632905220 528814550481 705086067308 755449357830 881357584135 906539229396 1057629100962 1133174036745 1233900617789 1510898715660 1586443651443 1762715168270 2115258201924 2266348073490 2467801235578 2644072752405 3172887302886 3525430336540 3701701853367 4532696146980 4935602471156 5288145504810 6169503088945 6345774605772 7403403706734 7932218257215 10576291009620 11105105560101 12339006177890 14806807413468 15864436514430 18508509266835 22210211120202 24678012355780 31728873028860 37017018533670 44420422240404 55525527800505 74034037067340 111051055601010 222102111202020