Search a number
-
+
13013132011 = 1143169916193
BaseRepresentation
bin11000001111010010…
…01010001011101011
31020120220111121012021
430013221022023223
5203122330211021
65551140325311
7640322540245
oct140751121353
936526447167
1013013132011
115578634760
1226320a3837
1312c501c019
148b63c7095
15512697c41
hex307a4a2eb

13013132011 has 16 divisors (see below), whose sum is σ = 14535734400. Its totient is φ = 11547486720.

The previous prime is 13013131877. The next prime is 13013132047. The reversal of 13013132011 is 11023131031.

13013132011 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 13013132011 - 217 = 13013000939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13013132051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 795531 + ... + 811723.

It is an arithmetic number, because the mean of its divisors is an integer number (908483400).

Almost surely, 213013132011 is an apocalyptic number.

13013132011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013132011 is a deficient number, since it is larger than the sum of its proper divisors (1522602389).

13013132011 is a wasteful number, since it uses less digits than its factorization.

13013132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17946.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13013132011 its reverse (11023131031), we get a palindrome (24036263042).

The spelling of 13013132011 in words is "thirteen billion, thirteen million, one hundred thirty-two thousand, eleven".

Divisors: 1 11 43 473 1699 16193 18689 73057 178123 696299 803627 7659289 27511907 302630977 1183012001 13013132011