Search a number
-
+
12131004 = 2231010917
BaseRepresentation
bin101110010001…
…101010111100
3211211022121110
4232101222330
511101143004
61112002020
7205053234
oct56215274
924738543
1012131004
116936226
124090310
132689812
14187acc4
1510e9589
hexb91abc

12131004 has 12 divisors (see below), whose sum is σ = 28305704. Its totient is φ = 4043664.

The previous prime is 12130999. The next prime is 12131017. The reversal of 12131004 is 40013121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×121310042 = 294322516096032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1010917 = 12131004 / (1 + 2 + 1 + 3 + 1 + 0 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505447 + ... + 505470.

Almost surely, 212131004 is an apocalyptic number.

It is an amenable number.

12131004 is an abundant number, since it is smaller than the sum of its proper divisors (16174700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131004 is a wasteful number, since it uses less digits than its factorization.

12131004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010924 (or 1010922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12131004 is about 3482.9590867537. The cubic root of 12131004 is about 229.7729580564.

Adding to 12131004 its reverse (40013121), we get a palindrome (52144125).

It can be divided in two parts, 121 and 31004, that added together give a triangular number (31125 = T249).

The spelling of 12131004 in words is "twelve million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 1010917 2021834 3032751 4043668 6065502 12131004