Search a number
-
+
2104340000113 = 132171319535867
BaseRepresentation
bin11110100111110100011…
…100000010110101110001
321110011200001222001010201
4132213310130002311301
5233434142020000423
64250415341155201
7305014335605101
oct36476434026561
97404601861121
102104340000113
1174149a08523a
1229ba0325bb01
13123591259c00
1473bca08b201
1539b1324d2ad
hex1e9f4702d71

2104340000113 has 48 divisors (see below), whose sum is σ = 2434086490176. Its totient is φ = 1812036495360.

The previous prime is 2104340000071. The next prime is 2104340000153. The reversal of 2104340000113 is 3110000434012.

It is a de Polignac number, because none of the positive numbers 2k-2104340000113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2104340000153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358671006 + ... + 358676872.

It is an arithmetic number, because the mean of its divisors is an integer number (50710135212).

Almost surely, 22104340000113 is an apocalyptic number.

It is an amenable number.

2104340000113 is a deficient number, since it is larger than the sum of its proper divisors (329746490063).

2104340000113 is a wasteful number, since it uses less digits than its factorization.

2104340000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2104340000113 its reverse (3110000434012), we get a palindrome (5214340434125).

The spelling of 2104340000113 in words is "two trillion, one hundred four billion, three hundred forty million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 13 17 131 169 221 953 1703 2227 2873 5867 12389 16201 22139 28951 76271 99739 124843 161057 210613 376363 768577 991523 1296607 1622959 2122331 2737969 5591251 9991501 13065809 16855891 21098467 27590303 72686263 95051267 129889513 169855517 358673939 732453881 944921419 1235666471 2208121721 9521900453 12451715977 16063664123 123784705889 161872307701 2104340000113