Search a number
-
+
11130233000131 = 7171910945162419
BaseRepresentation
bin1010000111110111010110…
…0101011001000011000011
31110102001002002000120000201
42201331311211121003003
52424324204122001011
635401054120430031
72226063356340340
oct241756545310303
943361062016021
1011130233000131
11360133a400533
1212b9144618317
1362976566858b
142a69c59737c7
151447c9be4cc1
hexa1f759590c3

11130233000131 has 32 divisors (see below), whose sum is σ = 14307454656000. Its totient is φ = 8428391096832.

The previous prime is 11130233000023. The next prime is 11130233000143. The reversal of 11130233000131 is 13100033203111.

11130233000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11130233000131 - 221 = 11130230902979 is a prime.

It is a super-2 number, since 2×111302330001312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11130233000099 and 11130233000108.

It is not an unprimeable number, because it can be changed into a prime (11130233010131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22334761 + ... + 22827658.

It is an arithmetic number, because the mean of its divisors is an integer number (447107958000).

Almost surely, 211130233000131 is an apocalyptic number.

11130233000131 is a deficient number, since it is larger than the sum of its proper divisors (3177221655869).

11130233000131 is a wasteful number, since it uses less digits than its factorization.

11130233000131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45162571.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11130233000131 its reverse (13100033203111), we get a palindrome (24230266203242).

The spelling of 11130233000131 in words is "eleven trillion, one hundred thirty billion, two hundred thirty-three million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 7 17 19 109 119 133 323 763 1853 2071 2261 12971 14497 35207 246449 45162419 316136933 767761123 858085961 4922703671 5374327861 6006601727 14587461337 34458925697 83685962407 93531369749 102112229359 585801736849 654719588243 1590033285733 11130233000131