Search a number
-
+
2712123 = 3511161
BaseRepresentation
bin1010010110001000111011
312002210100000
422112020323
51143241443
6134044043
732024031
oct12261073
95083300
102712123
111592727
12aa9623
1373c60b
14508551
153888d3
hex29623b

2712123 has 12 divisors (see below), whose sum is σ = 4062968. Its totient is φ = 1807920.

The previous prime is 2712119. The next prime is 2712131. The reversal of 2712123 is 3212172.

2712123 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 2712123 - 22 = 2712119 is a prime.

It is a super-2 number, since 2×27121232 = 14711222334258, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

2712123 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2712096 and 2712105.

It is not an unprimeable number, because it can be changed into a prime (2712133) 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, 5338 + ... + 5823.

22712123 is an apocalyptic number.

2712123 is a deficient number, since it is larger than the sum of its proper divisors (1350845).

2712123 is an equidigital number, since it uses as much as digits as its factorization.

2712123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11164 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2712123 is about 1646.8524524073. The cubic root of 2712123 is about 139.4557612064.

Adding to 2712123 its reverse (3212172), we get a palindrome (5924295).

The spelling of 2712123 in words is "two million, seven hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 27 81 243 11161 33483 100449 301347 904041 2712123