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11000110111220 = 22517241134245913
BaseRepresentation
bin1010000000010010100110…
…1001111101100111110100
31102221121012120211220111202
42200010221221331213310
52420211211142024340
635221214131352032
72213505661130306
oct240045151754764
942847176756452
1011000110111220
11356113642711a
121297a8a752618
1361a3c9197c19
142a05a0039976
151412111a9c15
hexa0129a7d9f4

11000110111220 has 48 divisors (see below), whose sum is σ = 24560558458128. Its totient is φ = 4124034416640.

The previous prime is 11000110111213. The next prime is 11000110111229. The reversal of 11000110111220 is 2211101100011.

It can be written as a sum of positive squares in 8 ways, for example, as 1084022474896 + 9916087636324 = 1041164^2 + 3148982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000110111229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67041017 + ... + 67204896.

It is an arithmetic number, because the mean of its divisors is an integer number (511678301211).

Almost surely, 211000110111220 is an apocalyptic number.

11000110111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000110111220 is an abundant number, since it is smaller than the sum of its proper divisors (13560448346908).

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

11000110111220 is a wasteful number, since it uses less digits than its factorization.

11000110111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134246180 (or 134246178 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11000110111220 its reverse (2211101100011), we get a palindrome (13211211211231).

The spelling of 11000110111220 in words is "eleven trillion, one hundred ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 241 340 482 964 1205 2410 4097 4820 8194 16388 20485 40970 81940 134245913 268491826 536983652 671229565 1342459130 2282180521 2684918260 4564361042 9128722084 11410902605 22821805210 32353265033 45643610420 64706530066 129413060132 161766325165 323532650330 550005505561 647065300660 1100011011122 2200022022244 2750027527805 5500055055610 11000110111220