Search a number
-
+
13111122310101 = 3288710831151637
BaseRepresentation
bin1011111011001010101111…
…0010011011001111010101
31201102102002122201202200100
42332302223302123033111
53204303034302410401
643515055541204313
72522150555555064
oct276625362331725
951372078652610
1013111122310101
1141a5439813012
121579034400699
137414b1847a2a
143348202b41db
1517b0b5070b86
hexbecabc9b3d5

13111122310101 has 24 divisors (see below), whose sum is σ = 18961514267904. Its totient is φ = 8730030250080.

The previous prime is 13111122310081. The next prime is 13111122310159. The reversal of 13111122310101 is 10101322111131.

13111122310101 is a `hidden beast` number, since 1 + 311 + 11 + 22 + 310 + 10 + 1 = 666.

It is not a de Polignac number, because 13111122310101 - 29 = 13111122309589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111122310171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86388055 + ... + 86539691.

It is an arithmetic number, because the mean of its divisors is an integer number (790063094496).

Almost surely, 213111122310101 is an apocalyptic number.

It is an amenable number.

13111122310101 is a deficient number, since it is larger than the sum of its proper divisors (5850391957803).

13111122310101 is a wasteful number, since it uses less digits than its factorization.

13111122310101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163361 (or 163358 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13111122310101 its reverse (10101322111131), we get a palindrome (23212444421232).

The spelling of 13111122310101 in words is "thirteen trillion, one hundred eleven billion, one hundred twenty-two million, three hundred ten thousand, one hundred one".

Divisors: 1 3 9 887 2661 7983 10831 32493 97479 151637 454911 1364733 9607097 28821291 86463873 134502019 403506057 1210518171 1642380347 4927141041 14781423123 1456791367789 4370374103367 13111122310101