Search a number
-
+
130034212200 = 233252235575639
BaseRepresentation
bin111100100011010100…
…1001001110101101000
3110102122022022101221100
41321012221021311220
54112302224242300
6135423100241400
712252240365244
oct1710651116550
9412568271840
10130034212200
1150168a17282
1221250240260
13c353cc2b39
146417c53424
1535b0d70700
hex1e46a49d68

130034212200 has 288 divisors, whose sum is σ = 456584169600. Its totient is φ = 33102727680.

The previous prime is 130034212183. The next prime is 130034212207. The reversal of 130034212200 is 2212430031.

130034212200 is a `hidden beast` number, since 1 + 300 + 342 + 1 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130034212207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23056981 + ... + 23062619.

It is an arithmetic number, because the mean of its divisors is an integer number (1585361700).

Almost surely, 2130034212200 is an apocalyptic number.

130034212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130034212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228292084800).

130034212200 is an abundant number, since it is smaller than the sum of its proper divisors (326549957400).

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

130034212200 is a wasteful number, since it uses less digits than its factorization.

130034212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130034212200 its reverse (2212430031), we get a palindrome (132246642231).

The spelling of 130034212200 in words is "one hundred thirty billion, thirty-four million, two hundred twelve thousand, two hundred".