Search a number
-
+
11112220211100 = 2235260161631837
BaseRepresentation
bin1010000110110100001111…
…1100000011011110011100
31110100022120201210001202020
42201231003330003132130
52424030311333223400
635344514500100140
72224555114221411
oct241550374033634
943308521701666
1011112220211100
1135a4736683528
1212b5758094650
13627b548aab28
142a5b97578108
151440c36622a0
hexa1b43f0379c

11112220211100 has 72 divisors (see below), whose sum is σ = 32204854101168. Its totient is φ = 2958328128000.

The previous prime is 11112220211093. The next prime is 11112220211111. The reversal of 11112220211100 is 111202221111.

It is a happy number.

11112220211100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11112220211100.

It is a congruent number.

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, 30635619 + ... + 30996218.

It is an arithmetic number, because the mean of its divisors is an integer number (447289640294).

Almost surely, 211112220211100 is an apocalyptic number.

11112220211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112220211100 is an abundant number, since it is smaller than the sum of its proper divisors (21092633890068).

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

11112220211100 is a wasteful number, since it uses less digits than its factorization.

11112220211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61632455 (or 61632448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11112220211100 its reverse (111202221111), we get a palindrome (11223422432211).

The spelling of 11112220211100 in words is "eleven trillion, one hundred twelve billion, two hundred twenty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 601 1202 1803 2404 3005 3606 6010 7212 9015 12020 15025 18030 30050 36060 45075 60100 90150 180300 61631837 123263674 184895511 246527348 308159185 369791022 616318370 739582044 924477555 1232636740 1540795925 1848955110 3081591850 3697910220 4622387775 6163183700 9244775550 18489551100 37040734037 74081468074 111122202111 148162936148 185203670185 222244404222 370407340370 444488808444 555611010555 740814680740 926018350925 1111222021110 1852036701850 2222444042220 2778055052775 3704073403700 5556110105550 11112220211100