Search a number
-
+
2443013112101 = 17192419709253
BaseRepresentation
bin100011100011001110111…
…011011100000100100101
322122112211210011201012212
4203203032323130010211
5310011242324041401
65110145453253205
7341334066553202
oct43431673340445
98575753151185
102443013112101
11862092237a11
12335580194205
131494b527a723
148635747aca9
1543835b91dbb
hex238ceedc125

2443013112101 has 24 divisors (see below), whose sum is σ = 2796614685144. Its totient is φ = 2125161077760.

The previous prime is 2443013112091. The next prime is 2443013112143. The reversal of 2443013112101 is 1012113103442.

2443013112101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15945123076 + 2427067989025 = 126274^2 + 1557905^2 .

It is not a de Polignac number, because 2443013112101 - 26 = 2443013112037 is a prime.

It is a super-3 number, since 3×24430131121013 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443013112181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4603010 + ... + 5106243.

It is an arithmetic number, because the mean of its divisors is an integer number (116525611881).

Almost surely, 22443013112101 is an apocalyptic number.

It is an amenable number.

2443013112101 is a deficient number, since it is larger than the sum of its proper divisors (353601573043).

2443013112101 is a wasteful number, since it uses less digits than its factorization.

2443013112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709349 (or 9709330 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2443013112101 its reverse (1012113103442), we get a palindrome (3455126215543).

The spelling of 2443013112101 in words is "two trillion, four hundred forty-three billion, thirteen million, one hundred twelve thousand, one hundred one".

Divisors: 1 17 19 41 323 361 697 779 6137 13243 14801 251617 9709253 165057301 184475807 398079373 3136088719 3505040333 6767349341 7563508087 59585685661 128579637479 143706653653 2443013112101