Search a number
-
+
11020111112100 = 22352238115427847
BaseRepresentation
bin1010000001011101000111…
…0011101110011110100100
31110000111211111021000201010
42200113101303232132210
52421023141421041400
635234322534302220
72215114424623236
oct240272163563644
943014744230633
1011020111112100
11356966a47a112
12129b930ab7970
1361c265b3329c
142a153a502256
151419d2072450
hexa05d1cee7a4

11020111112100 has 72 divisors (see below), whose sum is σ = 31898248256448. Its totient is φ = 2937461878400.

The previous prime is 11020111112093. The next prime is 11020111112167. The reversal of 11020111112100 is 121111102011.

11020111112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6999624 + ... + 8428223.

It is an arithmetic number, because the mean of its divisors is an integer number (443031225784).

Almost surely, 211020111112100 is an apocalyptic number.

11020111112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020111112100 is an abundant number, since it is smaller than the sum of its proper divisors (20878137144348).

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

11020111112100 is a wasteful number, since it uses less digits than its factorization.

11020111112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15430245 (or 15430238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11020111112100 its reverse (121111102011), we get a palindrome (11141222214111).

The spelling of 11020111112100 in words is "eleven trillion, twenty billion, one hundred eleven million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2381 4762 7143 9524 11905 14286 23810 28572 35715 47620 59525 71430 119050 142860 178575 238100 357150 714300 15427847 30855694 46283541 61711388 77139235 92567082 154278470 185134164 231417705 308556940 385696175 462835410 771392350 925670820 1157088525 1542784700 2314177050 4628354100 36733703707 73467407414 110201111121 146934814828 183668518535 220402222242 367337037070 440804444484 551005555605 734674074140 918342592675 1102011111210 1836685185350 2204022222420 2755027778025 3673370370700 5510055556050 11020111112100