Search a number
-
+
2004412411113 = 372103132383093
BaseRepresentation
bin11101001010110000010…
…010100010110011101001
321002121201221120120002220
4131022300102202303221
5230320014034123423
64132451522144253
7264546131244300
oct35126022426351
97077657516086
102004412411113
11703080607642
122845757b2089
13117027751518
146d02a8b9437
15372155689e3
hex1d2b04a2ce9

2004412411113 has 24 divisors (see below), whose sum is σ = 3139067924928. Its totient is φ = 1134258332256.

The previous prime is 2004412411109. The next prime is 2004412411163. The reversal of 2004412411113 is 3111142144002.

It is a happy number.

It is not a de Polignac number, because 2004412411113 - 22 = 2004412411109 is a prime.

It is a super-2 number, since 2×20044124111132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2004412411163) 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 23 ways as a sum of consecutive naturals, for example, 66176406 + ... + 66206687.

It is an arithmetic number, because the mean of its divisors is an integer number (130794496872).

Almost surely, 22004412411113 is an apocalyptic number.

It is an amenable number.

2004412411113 is a deficient number, since it is larger than the sum of its proper divisors (1134655513815).

2004412411113 is a wasteful number, since it uses less digits than its factorization.

2004412411113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132383213 (or 132383206 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2004412411113 its reverse (3111142144002), we get a palindrome (5115554555115).

The spelling of 2004412411113 in words is "two trillion, four billion, four hundred twelve million, four hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 7 21 49 103 147 309 721 2163 5047 15141 132383093 397149279 926681651 2780044953 6486771557 13635458579 19460314671 40906375737 95448210053 286344630159 668137470371 2004412411113