Search a number
-
+
13216114001 = 29282119141
BaseRepresentation
bin11000100111011110…
…11110010101010001
31021010001110011010202
430103233132111101
5204031311122001
610023231104545
7645336054416
oct142357362521
937101404122
1013216114001
115672174072
12268a072155
1313280ab6cc
148d534410d
155253e096b
hex313bde551

13216114001 has 12 divisors (see below), whose sum is σ = 13704944604. Its totient is φ = 12744177600.

The previous prime is 13216113979. The next prime is 13216114033. The reversal of 13216114001 is 10041161231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 65529025 + 13150584976 = 8095^2 + 114676^2 .

It is a de Polignac number, because none of the positive numbers 2k-13216114001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13216114081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 680891 + ... + 700031.

It is an arithmetic number, because the mean of its divisors is an integer number (1142078717).

Almost surely, 213216114001 is an apocalyptic number.

It is an amenable number.

13216114001 is a deficient number, since it is larger than the sum of its proper divisors (488830603).

13216114001 is an equidigital number, since it uses as much as digits as its factorization.

13216114001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020 (or 19991 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 13216114001 its reverse (10041161231), we get a palindrome (23257275232).

The spelling of 13216114001 in words is "thirteen billion, two hundred sixteen million, one hundred fourteen thousand, one".

Divisors: 1 29 821 841 19141 23809 555089 690461 15714761 16097581 455728069 13216114001