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222112102021020 = 223258314866941233
BaseRepresentation
bin110010100000001010000000…
…111100001111011110011100
31002010102201011021200010022200
4302200022000330033132130
5213103041041104133040
62104220520244011500
764533032642320221
oct6240120074173634
91063381137603280
10222112102021020
116485423915a832
1220ab2991690b90
1396c210994b8a3
143cbc3d6b69948
151aa29a3811630
hexca0280f0f79c

222112102021020 has 72 divisors (see below), whose sum is σ = 681857392756176. Its totient is φ = 58516280689152.

The previous prime is 222112102020989. The next prime is 222112102021097. The reversal of 222112102021020 is 20120201211222.

It is a happy number.

222112102021020 is a `hidden beast` number, since 2 + 221 + 1 + 210 + 2 + 0 + 210 + 20 = 666.

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 = 222112102020984 and 222112102021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7433455677 + ... + 7433485556.

It is an arithmetic number, because the mean of its divisors is an integer number (9470241566058).

Almost surely, 2222112102021020 is an apocalyptic number.

222112102021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112102021020 is an abundant number, since it is smaller than the sum of its proper divisors (459745290735156).

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

222112102021020 is a wasteful number, since it uses less digits than its factorization.

222112102021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866941331 (or 14866941326 counting only the distinct ones).

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

Adding to 222112102021020 its reverse (20120201211222), we get a palindrome (242232303232242).

It can be divided in two parts, 22211210202 and 1020, that added together give a palindrome (22211211222).

The spelling of 222112102021020 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred two million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 14866941233 29733882466 44600823699 59467764932 74334706165 89201647398 133802471097 148669412330 178403294796 223004118495 267604942194 297338824660 446008236990 535209884388 669012355485 892016473980 1233956122339 1338024710970 2467912244678 2676049421940 3701868367017 4935824489356 6169780611695 7403736734034 11105605101051 12339561223390 14807473468068 18509341835085 22211210202102 24679122446780 37018683670170 44422420404204 55528025505255 74037367340340 111056051010510 222112102021020