Search a number
-
+
12004140113 = 71725933831
BaseRepresentation
bin10110010111000000…
…01010010001010001
31010222120220111111222
423023200022101101
5144041024440423
65303054214425
7603321336020
oct131340122121
933876814458
1012004140113
11510002a159
1223b01b4415
131193c840b4
1481c3b88b7
154a3cdc3c8
hex2cb80a451

12004140113 has 12 divisors (see below), whose sum is σ = 14573491392. Its totient is φ = 9684010560.

The previous prime is 12004140097. The next prime is 12004140149. The reversal of 12004140113 is 31104140021.

It is a happy number.

It is not a de Polignac number, because 12004140113 - 24 = 12004140097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12004140091 and 12004140100.

It is not an unprimeable number, because it can be changed into a prime (12004146113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2964893 + ... + 2968938.

It is an arithmetic number, because the mean of its divisors is an integer number (1214457616).

Almost surely, 212004140113 is an apocalyptic number.

It is an amenable number.

12004140113 is a deficient number, since it is larger than the sum of its proper divisors (2569351279).

12004140113 is an equidigital number, since it uses as much as digits as its factorization.

12004140113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933872 (or 5933855 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12004140113 its reverse (31104140021), we get a palindrome (43108280134).

The spelling of 12004140113 in words is "twelve billion, four million, one hundred forty thousand, one hundred thirteen".

Divisors: 1 7 17 119 289 2023 5933831 41536817 100875127 706125889 1714877159 12004140113