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1100212022220 = 223537647765983
BaseRepresentation
bin10000000000101001101…
…111110010101111001100
310220011211200000121112120
4100000221233302233030
5121011213234202340
62201232545532540
7142326164613063
oct20005157625714
93804750017476
101100212022220
11394663005473
1215928a944150
137c9989b16cc
143b3716d91da
151d9443d24d0
hex10029bf2bcc

1100212022220 has 96 divisors (see below), whose sum is σ = 3168747122688. Its totient is φ = 285018838272.

The previous prime is 1100212022191. The next prime is 1100212022227. The reversal of 1100212022220 is 222202120011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100212022220.

It is not an unprimeable number, because it can be changed into a prime (1100212022227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1053349 + ... + 1819331.

It is an arithmetic number, because the mean of its divisors is an integer number (33007782528).

Almost surely, 21100212022220 is an apocalyptic number.

1100212022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100212022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584373561344).

1100212022220 is an abundant number, since it is smaller than the sum of its proper divisors (2068535100468).

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

1100212022220 is a wasteful number, since it uses less digits than its factorization.

1100212022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766679 (or 766677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1100212022220 its reverse (222202120011), we get a palindrome (1322414142231).

The spelling of 1100212022220 in words is "one trillion, one hundred billion, two hundred twelve million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 647 740 1110 1294 1941 2220 2588 3235 3882 6470 7764 9705 12940 19410 23939 38820 47878 71817 95756 119695 143634 239390 287268 359085 478780 718170 765983 1436340 1531966 2297949 3063932 3829915 4595898 7659830 9191796 11489745 15319660 22979490 28341371 45958980 56682742 85024113 113365484 141706855 170048226 283413710 340096452 425120565 495591001 566827420 850241130 991182002 1486773003 1700482260 1982364004 2477955005 2973546006 4955910010 5947092012 7433865015 9911820020 14867730030 18336867037 29735460060 36673734074 55010601111 73347468148 91684335185 110021202222 183368670370 220042404444 275053005555 366737340740 550106011110 1100212022220