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2110234113 = 310132749
BaseRepresentation
bin111110111000111…
…1001111000000001
312110001210000000000
41331301321320001
513310204442423
6545221350213
7103202460021
oct17561717001
95401700000
102110234113
11993199139
124aa868369
13278262150
14160391a81
15c53d9843
hex7dc79e01

2110234113 has 44 divisors (see below), whose sum is σ = 3410060500. Its totient is φ = 1298133216.

The previous prime is 2110234109. The next prime is 2110234117. The reversal of 2110234113 is 3114320112.

It is an interprime number because it is at equal distance from previous prime (2110234109) and next prime (2110234117).

It can be written as a sum of positive squares in 2 ways, for example, as 281132289 + 1829101824 = 16767^2 + 42768^2 .

It is not a de Polignac number, because 2110234113 - 22 = 2110234109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2110234117) 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 43 ways as a sum of consecutive naturals, for example, 766263 + ... + 769011.

It is an arithmetic number, because the mean of its divisors is an integer number (77501375).

Almost surely, 22110234113 is an apocalyptic number.

It is an amenable number.

2110234113 is a deficient number, since it is larger than the sum of its proper divisors (1299826387).

2110234113 is an frugal number, since it uses more digits than its factorization.

2110234113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2110234113 is about 45937.2845627601. The cubic root of 2110234113 is about 1282.6560474942.

Adding to 2110234113 its reverse (3114320112), we get a palindrome (5224554225).

The spelling of 2110234113 in words is "two billion, one hundred ten million, two hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 2187 2749 3159 6561 8247 9477 19683 24741 28431 35737 59049 74223 85293 107211 222669 255879 321633 668007 767637 964899 2004021 2894697 6012063 8684091 18036189 26052273 54108567 78156819 162325701 234470457 703411371 2110234113