Search a number
-
+
11104021012 = 2273779211643
BaseRepresentation
bin10100101011101100…
…11110101000010100
31001122212011201020111
422111312132220110
5140220112133022
65033501412404
7542111423050
oct122566365024
931585151214
1011104021012
114788a26377
12219a86a104
13107c648446
14774a2ac60
1544ec8a477
hex295d9ea14

11104021012 has 96 divisors (see below), whose sum is σ = 23242526720. Its totient is φ = 4542894720.

The previous prime is 11104021001. The next prime is 11104021031. The reversal of 11104021012 is 21012040111.

11104021012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11104020983 and 11104021001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17268763 + ... + 17269405.

Almost surely, 211104021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11104021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621263360).

11104021012 is an abundant number, since it is smaller than the sum of its proper divisors (12138505708).

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

11104021012 is a wasteful number, since it uses less digits than its factorization.

11104021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11104021012 its reverse (21012040111), we get a palindrome (32116061123).

The spelling of 11104021012 in words is "eleven billion, one hundred four million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 28 37 74 79 148 158 211 259 316 422 518 553 643 844 1036 1106 1286 1477 2212 2572 2923 2954 4501 5846 5908 7807 9002 11692 15614 16669 18004 20461 23791 31228 33338 40922 47582 50797 54649 66676 81844 95164 101594 109298 116683 135673 166537 203188 218596 233366 271346 333074 355579 466732 542692 616753 666148 711158 949711 1233506 1422316 1879489 1899422 2467012 3758978 3798844 4317271 5019901 7517956 8634542 10039802 10718167 13156423 17269084 20079604 21436334 26312846 35139307 42872668 52625692 70278614 75027169 140557228 150054338 300108676 396572179 793144358 1586288716 2776005253 5552010506 11104021012