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2123513 = 7341151
BaseRepresentation
bin1000000110011011111001
310222212220122
420012123321
51020423023
6113303025
724023000
oct10063371
93885818
102123513
111220477
12864a75
13594722
143d3c37
152be2c8
hex2066f9

2123513 has 16 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 1764000.

The previous prime is 2123491. The next prime is 2123557. The reversal of 2123513 is 3153212.

2123513 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 2123513 - 28 = 2123257 is a prime.

It is a super-2 number, since 2×21235132 = 9018614922338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2123491 and 2123500.

It is not an unprimeable number, because it can be changed into a prime (2123213) 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 15 ways as a sum of consecutive naturals, for example, 13988 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

22123513 is an apocalyptic number.

It is an amenable number.

2123513 is a deficient number, since it is larger than the sum of its proper divisors (430087).

2123513 is an equidigital number, since it uses as much as digits as its factorization.

2123513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its digits is 180, while the sum is 17.

The square root of 2123513 is about 1457.2278476614. The cubic root of 2123513 is about 128.5340843335.

Adding to 2123513 its reverse (3153212), we get a palindrome (5276725).

The spelling of 2123513 in words is "two million, one hundred twenty-three thousand, five hundred thirteen".

Divisors: 1 7 41 49 151 287 343 1057 2009 6191 7399 14063 43337 51793 303359 2123513