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11100112111220 = 22511316793239597
BaseRepresentation
bin1010000110000111001000…
…1111010100011001110100
31110022011022220020212020112
42201201302033110121310
52423331012200024340
635335153205322152
72223646061115566
oct241416217243164
943264286225215
1011100112111220
11359a5929a8910
1212b3339106358
13626975227aa2
142a536945b336
15143b1568c065
hexa18723d4674

11100112111220 has 96 divisors (see below), whose sum is σ = 26253623079936. Its totient is φ = 3905606476800.

The previous prime is 11100112111177. The next prime is 11100112111223. The reversal of 11100112111220 is 2211121100111.

It is a junction number, because it is equal to n+sod(n) for n = 11100112111195 and 11100112111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100112111223) 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, 46208462 + ... + 46448058.

It is an arithmetic number, because the mean of its divisors is an integer number (273475240416).

Almost surely, 211100112111220 is an apocalyptic number.

11100112111220 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 11100112111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126811539968).

11100112111220 is an abundant number, since it is smaller than the sum of its proper divisors (15153510968716).

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

11100112111220 is a wasteful number, since it uses less digits than its factorization.

11100112111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246441 (or 246439 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11100112111220 its reverse (2211121100111), we get a palindrome (13311233211331).

It can be divided in two parts, 111001 and 12111220, that added together give a palindrome (12222221).

The spelling of 11100112111220 in words is "eleven trillion, one hundred billion, one hundred twelve million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6793 6820 13586 27172 33965 67930 74723 135860 149446 210583 239597 298892 373615 421166 479194 747230 842332 958388 1052915 1197985 1494460 2105830 2316413 2395970 2635567 4211660 4632826 4791940 5271134 7427507 9265652 10542268 11582065 13177835 14855014 23164130 26355670 29710028 37137535 46328260 52711340 74275070 81702577 148550140 163405154 326810308 408512885 817025770 1627582421 1634051540 3255164842 6510329684 8137912105 16275824210 17903406631 32551648420 35806813262 50455055051 71613626524 89517033155 100910110102 179034066310 201820220204 252275275255 358068132620 504550550510 555005605561 1009101101020 1110011211122 2220022422244 2775028027805 5550056055610 11100112111220