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2123253 = 34112383
BaseRepresentation
bin1000000110010111110101
310222212120000
420012113311
51020421003
6113301513
724022146
oct10062765
93885500
102123253
111220260
12864899
13594582
143d3acd
152be1a3
hex2065f5

2123253 has 20 divisors (see below), whose sum is σ = 3461568. Its totient is φ = 1286280.

The previous prime is 2123243. The next prime is 2123257. The reversal of 2123253 is 3523212.

2123253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2123253 - 24 = 2123237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123257) 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 19 ways as a sum of consecutive naturals, for example, 301 + ... + 2082.

22123253 is an apocalyptic number.

It is an amenable number.

2123253 is a deficient number, since it is larger than the sum of its proper divisors (1338315).

2123253 is a wasteful number, since it uses less digits than its factorization.

2123253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2397 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 2123253 is about 1457.1386344477. The cubic root of 2123253 is about 128.5288382741.

Adding to 2123253 its reverse (3523212), we get a palindrome (5646465).

The spelling of 2123253 in words is "two million, one hundred twenty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 11 27 33 81 99 297 891 2383 7149 21447 26213 64341 78639 193023 235917 707751 2123253