Search a number
-
+
11331102013072 = 2423431619344221
BaseRepresentation
bin1010010011100011101001…
…0011110111011010010000
31111010020112222111200011121
42210320322103313122100
52441122044103404242
640033234132452024
72246434161643642
oct244707223673220
944106488450147
1011331102013072
113679547759a46
12133006317a014
13642697a21a9a
142b25dd226892
15149b345c4667
hexa4e3a4f7690

11331102013072 has 80 divisors (see below), whose sum is σ = 23443266642048. Its totient is φ = 5292747694080.

The previous prime is 11331102013069. The next prime is 11331102013073. The reversal of 11331102013072 is 27031020113311.

11331102013072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11331102013073) 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, 256215922 + ... + 256260142.

Almost surely, 211331102013072 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 11331102013072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721633321024).

11331102013072 is an abundant number, since it is smaller than the sum of its proper divisors (12112164628976).

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

11331102013072 is a wasteful number, since it uses less digits than its factorization.

11331102013072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60488 (or 60482 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 11331102013072 its reverse (27031020113311), we get a palindrome (38362122126383).

The spelling of 11331102013072 in words is "eleven trillion, three hundred thirty-one billion, one hundred two million, thirteen thousand, seventy-two".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 989 1978 3956 7912 15824 16193 32386 44221 64772 88442 129544 176884 259088 353768 372439 696299 707536 744878 1017083 1392598 1489756 1901503 2034166 2785196 2979512 3803006 4068332 5570392 5959024 7606012 8136664 11140784 15212024 16014877 16273328 30424048 32029754 43734569 64059508 87469138 128119016 174938276 256238032 349876552 699753104 716070653 1432141306 2864282612 5728565224 11457130448 16469625019 30791038079 32939250038 61582076158 65878500076 123164152316 131757000152 246328304632 263514000304 492656609264 708193875817 1416387751634 2832775503268 5665551006536 11331102013072