Search a number
-
+
11126354135 = 513289197751
BaseRepresentation
bin10100101110010111…
…01011000011010111
31001201102012100112012
422113023223003113
5140241321313020
65040020214435
7542502310151
oct122713530327
931642170465
1011126354135
11479a59a5a6
1221a623a41b
131084167800
147779a1ad1
15451bec7c5
hex2972eb0d7

11126354135 has 48 divisors (see below), whose sum is σ = 14713902720. Its totient is φ = 8072064000.

The previous prime is 11126354117. The next prime is 11126354147. The reversal of 11126354135 is 53145362111.

It is not a de Polignac number, because 11126354135 - 216 = 11126288599 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14815010 + ... + 14815760.

It is an arithmetic number, because the mean of its divisors is an integer number (306539640).

Almost surely, 211126354135 is an apocalyptic number.

11126354135 is a deficient number, since it is larger than the sum of its proper divisors (3587548585).

11126354135 is a wasteful number, since it uses less digits than its factorization.

11126354135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The spelling of 11126354135 in words is "eleven billion, one hundred twenty-six million, three hundred fifty-four thousand, one hundred thirty-five".

Divisors: 1 5 13 65 89 169 197 445 751 845 985 1157 2561 3755 5785 9763 12805 15041 17533 33293 48815 66839 75205 87665 126919 147947 166465 227929 334195 634595 739735 868907 1139645 1923311 2963077 4344535 9616555 11295791 13167283 14815385 25003043 56478955 65836415 125015215 171174679 855873395 2225270827 11126354135