Search a number
-
+
12100440004 = 22550012
BaseRepresentation
bin10110100010011111…
…00000111111000100
31011020022010001010121
423101033200333010
5144240203040004
65320414231324
7605601020512
oct132117407704
934208101117
1012100440004
11514a423744
1224184b5544
1311aac00693
1482b0c54b2
154ac4b0854
hex2d13e0fc4

12100440004 has 9 divisors (see below), whose sum is σ = 21176155021. Its totient is φ = 6050110000.

The previous prime is 12100439993. The next prime is 12100440007. The reversal of 12100440004 is 40004400121.

The square root of 12100440004 is 110002.

It is a perfect power (a square), and thus also a powerful number.

12100440004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193265604 + 11907174400 = 13902^2 + 109120^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12100440004.

It is not an unprimeable number, because it can be changed into a prime (12100440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 192504 + ... + 247504.

Almost surely, 212100440004 is an apocalyptic number.

12100440004 is the 110002-nd square number.

It is an amenable number.

12100440004 is a deficient number, since it is larger than the sum of its proper divisors (9075715017).

12100440004 is an frugal number, since it uses more digits than its factorization.

12100440004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110006 (or 55003 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 12100440004 by its sum of digits (16), we get a square (193607040064 = 4400082).

Adding to 12100440004 its reverse (40004400121), we get a palindrome (52104840125).

The spelling of 12100440004 in words is "twelve billion, one hundred million, four hundred forty thousand, four".

Divisors: 1 2 4 55001 110002 220004 3025110001 6050220002 12100440004