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3111122221020 = 223251113309118061
BaseRepresentation
bin101101010001011101010…
…101011011011111011100
3102000102100110022222122200
4231101131111123133130
5401433034242033040
610341121350211500
7440525336356662
oct55213525333734
912012313288580
103111122221020
11a9a468429080
12422b58653b90
131974ba68aac8
14aa817160c32
1555dda111630
hex2d45d55b7dc

3111122221020 has 144 divisors (see below), whose sum is σ = 10295847001440. Its totient is φ = 754148390400.

The previous prime is 3111122220979. The next prime is 3111122221033. The reversal of 3111122221020 is 201222211113.

3111122221020 is a `hidden beast` number, since 311 + 1 + 122 + 2 + 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 = 3111122220984 and 3111122221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26292790 + ... + 26410850.

It is an arithmetic number, because the mean of its divisors is an integer number (71498937510).

Almost surely, 23111122221020 is an apocalyptic number.

3111122221020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3111122221020 is an abundant number, since it is smaller than the sum of its proper divisors (7184724780420).

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

3111122221020 is a wasteful number, since it uses less digits than its factorization.

3111122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131396 (or 131391 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3111122221020 its reverse (201222211113), we get a palindrome (3312344432133).

The spelling of 3111122221020 in words is "three trillion, one hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 13309 26618 39927 53236 66545 79854 118061 119781 133090 146399 159708 199635 236122 239562 266180 292798 354183 399270 439197 472244 479124 585596 590305 598905 708366 731995 798540 878394 1062549 1180610 1197810 1298671 1317591 1416732 1463990 1756788 1770915 2125098 2195985 2361220 2395620 2597342 2635182 2927980 3541830 3896013 4250196 4391970 5194684 5270364 5312745 6493355 6587955 7083660 7792026 8783940 10625490 11688039 12986710 13175910 15584052 19480065 21250980 23376078 25973420 26351820 38960130 46752156 58440195 77920260 116880390 233760780 1571273849 3142547698 4713821547 6285095396 7856369245 9427643094 14141464641 15712738490 17284012339 18855286188 23569107735 28282929282 31425476980 34568024678 47138215470 51852037017 56565858564 69136049356 70707323205 86420061695 94276430940 103704074034 141414646410 155556111051 172840123390 207408148068 259260185085 282829292820 311112222102 345680246780 518520370170 622224444204 777780555255 1037040740340 1555561110510 3111122221020