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2123613 = 322310259
BaseRepresentation
bin1000000110011101011101
310222220001100
420012131131
51020423423
6113303313
724023202
oct10063535
93886040
102123613
111220558
12864b39
1359479b
143d3ca9
152be343
hex20675d

2123613 has 12 divisors (see below), whose sum is σ = 3201120. Its totient is φ = 1354056.

The previous prime is 2123603. The next prime is 2123617. The reversal of 2123613 is 3163212.

2123613 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 2123613 - 25 = 2123581 is a prime.

It is a Curzon number.

2123613 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123617) 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, 4923 + ... + 5336.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

22123613 is an apocalyptic number.

2123613 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2123613 is a deficient number, since it is larger than the sum of its proper divisors (1077507).

2123613 is a wasteful number, since it uses less digits than its factorization.

2123613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10288 (or 10285 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 2123613 is about 1457.2621589817. The cubic root of 2123613 is about 128.5361019347.

Adding to 2123613 its reverse (3163212), we get a palindrome (5286825).

The spelling of 2123613 in words is "two million, one hundred twenty-three thousand, six hundred thirteen".

Divisors: 1 3 9 23 69 207 10259 30777 92331 235957 707871 2123613