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22100011221020 = 22517731137879747
BaseRepresentation
bin1010000011001100011110…
…10100011000000000011100
32220020201222210001210012212
411001212033110120000130
510344041310333033040
6115000334402415552
74440446610621545
oct501461724300034
986221883053185
1022100011221020
117050620208497
12258b1690615b8
13c440397860a5
1456590944d4cc
15284d13067d65
hex14198f51801c

22100011221020 has 96 divisors (see below), whose sum is σ = 50254006920768. Its totient is φ = 8133410783232.

The previous prime is 22100011221017. The next prime is 22100011221097. The reversal of 22100011221020 is 2012211000122.

It is a super-2 number, since 2×221000112210202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22100011220986 and 22100011221004.

It is a congruent number.

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, 1135214 + ... + 6744533.

It is an arithmetic number, because the mean of its divisors is an integer number (523479238758).

Almost surely, 222100011221020 is an apocalyptic number.

22100011221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100011221020 is an abundant number, since it is smaller than the sum of its proper divisors (28153995699748).

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

22100011221020 is a wasteful number, since it uses less digits than its factorization.

22100011221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879959 (or 7879957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22100011221020 its reverse (2012211000122), we get a palindrome (24112222221142).

The spelling of 22100011221020 in words is "twenty-two trillion, one hundred billion, eleven million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 113 146 170 226 292 340 365 452 565 730 1130 1241 1460 1921 2260 2482 3842 4964 6205 7684 8249 9605 12410 16498 19210 24820 32996 38420 41245 82490 140233 164980 280466 560932 701165 1402330 2804660 7879747 15759494 31518988 39398735 78797470 133955699 157594940 267911398 535822796 575221531 669778495 890411411 1150443062 1339556990 1780822822 2300886124 2679113980 2876107655 3561645644 4452057055 5752215310 8904114110 9778766027 11504430620 15136993987 17808228220 19557532054 30273987974 39115064108 48893830135 60547975948 65000033003 75684969935 97787660270 130000066006 151369939870 195575320540 260000132012 302739879740 325000165015 650000330030 1105000561051 1300000660060 2210001122102 4420002244204 5525002805255 11050005610510 22100011221020