Search a number
-
+
11211100011120 = 243546712916713
BaseRepresentation
bin1010001100100100100110…
…1000100011101001110000
31110200202210211120100111210
42203021021220203221300
52432140313100323440
635502150325240120
72234655336522642
oct243111150435160
943622724510453
1011211100011120
113632667757819
121310952863040
136342822b6439
142aa89791c892
1514695e375a80
hexa3249a23a70

11211100011120 has 40 divisors (see below), whose sum is σ = 34754410035216. Its totient is φ = 2989626669568.

The previous prime is 11211100011107. The next prime is 11211100011169. The reversal of 11211100011120 is 2111000111211.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 11211100011096 and 11211100011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23356458117 + ... + 23356458596.

Almost surely, 211211100011120 is an apocalyptic number.

11211100011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211100011120 is an abundant number, since it is smaller than the sum of its proper divisors (23543310024096).

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

11211100011120 is a wasteful number, since it uses less digits than its factorization.

11211100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46712916729 (or 46712916723 counting only the distinct ones).

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

Adding to 11211100011120 its reverse (2111000111211), we get a palindrome (13322100122331).

It can be divided in two parts, 1 and 1211100011120, that added together give a palindrome (1211100011121).

The spelling of 11211100011120 in words is "eleven trillion, two hundred eleven billion, one hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 46712916713 93425833426 140138750139 186851666852 233564583565 280277500278 373703333704 467129167130 560555000556 700693750695 747406667408 934258334260 1121110001112 1401387501390 1868516668520 2242220002224 2802775002780 3737033337040 5605550005560 11211100011120