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22111012222020 = 223251259143368087
BaseRepresentation
bin1010000011100000111110…
…00001110111010001000100
32220021210101110101112120100
411001300133001313101010
510344231323112101040
6115005354144204100
74441316331604011
oct501603701672104
986253343345510
1022111012222020
117055255a6a357
122591319309630
13c450a0971237
14566270500708
15285258c53b30
hex141c1f077444

22111012222020 has 144 divisors (see below), whose sum is σ = 67171170568320. Its totient is φ = 5887388794368.

The previous prime is 22111012222001. The next prime is 22111012222069. The reversal of 22111012222020 is 2022221011122.

It is a happy number.

It is a super-2 number, since 2×221110122220202 (a number of 27 digits) contains 22 as substring.

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 = 22111012221984 and 22111012222002.

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 47 ways as a sum of consecutive naturals, for example, 324712417 + ... + 324780503.

It is an arithmetic number, because the mean of its divisors is an integer number (466466462280).

Almost surely, 222111012222020 is an apocalyptic number.

22111012222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111012222020 is an abundant number, since it is smaller than the sum of its proper divisors (45060158346300).

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

22111012222020 is a wasteful number, since it uses less digits than its factorization.

22111012222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70794 (or 70789 counting only the distinct ones).

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

Adding to 22111012222020 its reverse (2022221011122), we get a palindrome (24133233233142).

The spelling of 22111012222020 in words is "twenty-two trillion, one hundred eleven billion, twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1259 1433 2518 2866 3777 4299 5036 5732 6295 7165 7554 8598 11331 12590 12897 14330 15108 17196 18885 21495 22662 25180 25794 28660 37770 42990 45324 51588 56655 64485 68087 75540 85980 113310 128970 136174 204261 226620 257940 272348 340435 408522 612783 680870 817044 1021305 1225566 1361740 1804147 2042610 2451132 3063915 3608294 4085220 5412441 6127830 7216588 9020735 10824882 12255660 16237323 18041470 21649764 27062205 32474646 36082940 54124410 64949292 81186615 85721533 97568671 108248820 162373230 171443066 195137342 257164599 292706013 324746460 342886132 390274684 428607665 487843355 514329198 585412026 771493797 857215330 878118039 975686710 1028658396 1170824052 1285822995 1463530065 1542987594 1714430660 1756236078 1951373420 2571645990 2927060130 3085975188 3512472156 3857468985 4390590195 5143291980 5854120260 7714937970 8781180390 15429875940 17562360780 122838956789 245677913578 368516870367 491355827156 614194783945 737033740734 1105550611101 1228389567890 1474067481468 1842584351835 2211101222202 2456779135780 3685168703670 4422202444404 5527753055505 7370337407340 11055506111010 22111012222020