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222120101102220 = 223252834360426013
BaseRepresentation
bin110010100000010001011101…
…101110010100001010001100
31002010110110210202100112212100
4302200101131232110022030
5213103203431340232340
62104224322112035100
764533435112352526
oct6240213556241214
91063413722315770
10222120101102220
116485767345a942
1220ab4444532a90
1396c2ab2c2c729
143cbc955274a16
151aa2cc0bc9830
hexca045db9428c

222120101102220 has 72 divisors (see below), whose sum is σ = 676145099434896. Its totient is φ = 59022726498432.

The previous prime is 222120101102189. The next prime is 222120101102293. The reversal of 222120101102220 is 22201101021222.

It is a happy number.

222120101102220 is a `hidden beast` number, since 2 + 221 + 20 + 101 + 102 + 220 = 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 = 222120101102193 and 222120101102202.

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, 2180162067 + ... + 2180263946.

It is an arithmetic number, because the mean of its divisors is an integer number (9390904158818).

Almost surely, 2222120101102220 is an apocalyptic number.

222120101102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120101102220 is an abundant number, since it is smaller than the sum of its proper divisors (454024998332676).

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

222120101102220 is a wasteful number, since it uses less digits than its factorization.

222120101102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360426311 (or 4360426306 counting only the distinct ones).

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

Adding to 222120101102220 its reverse (22201101021222), we get a palindrome (244321202123442).

The spelling of 222120101102220 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 1132 1415 1698 2547 2830 3396 4245 5094 5660 8490 10188 12735 16980 25470 50940 4360426013 8720852026 13081278039 17441704052 21802130065 26162556078 39243834117 43604260130 52325112156 65406390195 78487668234 87208520260 130812780390 156975336468 196219170585 261625560780 392438341170 784876682340 1234000561679 2468001123358 3702001685037 4936002246716 6170002808395 7404003370074 11106005055111 12340005616790 14808006740148 18510008425185 22212010110222 24680011233580 37020016850370 44424020220444 55530025275555 74040033700740 111060050551110 222120101102220