Search a number
-
+
130034204224 = 263754913093
BaseRepresentation
bin111100100011010100…
…1000111111001000000
3110102122022021222222221
41321012221013321000
54112302224013344
6135423100140424
712252240333061
oct1710651077100
9412568258887
10130034204224
1150168a11291
1221250237714
13c353cbc312
146417c50568
1535b0d6d184
hex1e46a47e40

130034204224 has 28 divisors (see below), whose sum is σ = 265010591644. Its totient is φ = 63259881984.

The previous prime is 130034204213. The next prime is 130034204243. The reversal of 130034204224 is 422402430031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105937230400 + 24096973824 = 325480^2 + 155232^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 27454179 + ... + 27458914.

Almost surely, 2130034204224 is an apocalyptic number.

It is an amenable number.

130034204224 is an abundant number, since it is smaller than the sum of its proper divisors (134976387420).

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

130034204224 is an equidigital number, since it uses as much as digits as its factorization.

130034204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54913142 (or 54913132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 130034204224 its reverse (422402430031), we get a palindrome (552436634255).

The spelling of 130034204224 in words is "one hundred thirty billion, thirty-four million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 54913093 109826186 219652372 439304744 878609488 1757218976 2031784441 3514437952 4063568882 8127137764 16254275528 32508551056 65017102112 130034204224