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2129013 = 322291033
BaseRepresentation
bin1000000111110001110101
311000011110100
420013301311
51021112023
6113344313
724045015
oct10076165
94004410
102129013
111224617
12868099
13597093
143d5c45
152c0c43
hex207c75

2129013 has 12 divisors (see below), whose sum is σ = 3091660. Its totient is φ = 1411776.

The previous prime is 2129011. The next prime is 2129027. The reversal of 2129013 is 3109212.

It is a happy number.

2129013 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 2 ways, for example, as 2022084 + 106929 = 1422^2 + 327^2 .

It is not a de Polignac number, because 2129013 - 21 = 2129011 is a prime.

It is a Duffinian number.

2129013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1545 + ... + 2577.

22129013 is an apocalyptic number.

It is an amenable number.

2129013 is a deficient number, since it is larger than the sum of its proper divisors (962647).

2129013 is a wasteful number, since it uses less digits than its factorization.

2129013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2129013 is about 1459.1137721233. The cubic root of 2129013 is about 128.6449584694.

The spelling of 2129013 in words is "two million, one hundred twenty-nine thousand, thirteen".

Divisors: 1 3 9 229 687 1033 2061 3099 9297 236557 709671 2129013