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2121309 = 3426189
BaseRepresentation
bin1000000101111001011101
310222202220000
420011321131
51020340214
6113244513
724013401
oct10057135
93882800
102121309
111219853
12863739
13593718
143d3101
152bd809
hex205e5d

2121309 has 10 divisors (see below), whose sum is σ = 3168990. Its totient is φ = 1414152.

The previous prime is 2121289. The next prime is 2121323. The reversal of 2121309 is 9031212.

It is a happy number.

2121309 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 only one way, i.e., 2022084 + 99225 = 1422^2 + 315^2 .

It is not a de Polignac number, because 2121309 - 27 = 2121181 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2121291 and 2121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121389) 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 9 ways as a sum of consecutive naturals, for example, 13014 + ... + 13175.

It is an arithmetic number, because the mean of its divisors is an integer number (316899).

22121309 is an apocalyptic number.

It is an amenable number.

2121309 is a deficient number, since it is larger than the sum of its proper divisors (1047681).

2121309 is an equidigital number, since it uses as much as digits as its factorization.

2121309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26201 (or 26192 counting only the distinct ones).

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

The square root of 2121309 is about 1456.4714209349. The cubic root of 2121309 is about 128.4896003131.

Subtracting 2121309 from its reverse (9031212), we obtain a triangular number (6909903 = T3717).

It can be divided in two parts, 212 and 1309, that added together give a square (1521 = 392).

The spelling of 2121309 in words is "two million, one hundred twenty-one thousand, three hundred nine".

Divisors: 1 3 9 27 81 26189 78567 235701 707103 2121309