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2124301313133 = 32378536235529
BaseRepresentation
bin11110111010011010001…
…110011010010001101101
321112002012012200210211100
4132322122032122101231
5234301032114010013
64303520205313313
7306322111143006
oct36723216322155
97462165623740
102124301313133
11749a0279014a
122a3854265839
1312542290a82c
1474b611821ad
153a3d08c6473
hex1ee9a39a46d

2124301313133 has 12 divisors (see below), whose sum is σ = 3068516784060. Its totient is φ = 1416163235136.

The previous prime is 2124301313119. The next prime is 2124301313171. The reversal of 2124301313133 is 3313131034212.

2124301313133 is a `hidden beast` number, since 2 + 12 + 4 + 301 + 31 + 313 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14550873129 + 2109750440004 = 120627^2 + 1452498^2 .

It is not a de Polignac number, because 2124301313133 - 220 = 2124300264557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2124301313097 and 2124301313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124301317133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2777088 + ... + 3458441.

It is an arithmetic number, because the mean of its divisors is an integer number (255709732005).

Almost surely, 22124301313133 is an apocalyptic number.

It is an amenable number.

2124301313133 is a deficient number, since it is larger than the sum of its proper divisors (944215470927).

2124301313133 is a wasteful number, since it uses less digits than its factorization.

2124301313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6273388 (or 6273385 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 2124301313133 its reverse (3313131034212), we get a palindrome (5437432347345).

The spelling of 2124301313133 in words is "two trillion, one hundred twenty-four billion, three hundred one million, three hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 37853 113559 340677 6235529 18706587 56119761 236033479237 708100437711 2124301313133