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220112011100020 = 2251311310637047883
BaseRepresentation
bin110010000011000011010010…
…001110110111111101110100
31001212100111120111202000012011
4302003003102032313331310
5212322303344320200040
62100050021214134004
764235365554102304
oct6203032216677564
91055314514660164
10220112011100020
1164152a85a59726
122082b2231b1304
1395a8620602310
143c4d69a1ad604
151a6a9428743ea
hexc830d23b7f74

220112011100020 has 96 divisors (see below), whose sum is σ = 502669520946432. Its totient is φ = 80477114554368.

The previous prime is 220112011099943. The next prime is 220112011100021. The reversal of 220112011100020 is 20001110211022.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112011100021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27706999 + ... + 34754881.

It is an arithmetic number, because the mean of its divisors is an integer number (5236140843192).

Almost surely, 2220112011100020 is an apocalyptic number.

220112011100020 is a gapful number since it is divisible by the number (20) 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 220112011100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251334760473216).

220112011100020 is an abundant number, since it is smaller than the sum of its proper divisors (282557509846412).

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

220112011100020 is a wasteful number, since it uses less digits than its factorization.

220112011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7049081 (or 7049079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 220112011100020 its reverse (20001110211022), we get a palindrome (240113121311042).

The spelling of 220112011100020 in words is "two hundred twenty trillion, one hundred twelve billion, eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 452 565 1063 1130 1469 2126 2260 2938 4252 5315 5876 7345 10630 13819 14690 21260 27638 29380 55276 69095 120119 138190 240238 276380 480476 600595 1201190 1561547 2402380 3123094 6246188 7047883 7807735 14095766 15615470 28191532 31230940 35239415 70478830 91622479 140957660 183244958 366489916 458112395 796410779 916224790 1592821558 1832449580 3185643116 3982053895 7491899629 7964107790 10353340127 14983799258 15928215580 20706680254 29967598516 37459498145 41413360508 51766700635 74918996290 97394695177 103533401270 149837992580 194789390354 207066802540 389578780708 486973475885 846584658077 973946951770 1693169316154 1947893903540 3386338632308 4232923290385 8465846580770 11005600555001 16931693161540 22011201110002 44022402220004 55028002775005 110056005550010 220112011100020