Search a number
-
+
130330200 = 2335272111331
BaseRepresentation
bin1111100010010…
…10111001011000
3100002020110102110
413301022321120
5231331031300
620533232320
73141534300
oct761127130
9302213373
10130330200
1167628010
12377926a0
1321002b80
1413448600
15b696550
hex7c4ae58

130330200 has 576 divisors, whose sum is σ = 569963520. Its totient is φ = 24192000.

The previous prime is 130330199. The next prime is 130330217. The reversal of 130330200 is 2033031.

It is a happy number.

It is a super-2 number, since 2×1303302002 = 33971922064080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4204185 + ... + 4204215.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2130330200 is an apocalyptic number.

130330200 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 130330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

130330200 is an abundant number, since it is smaller than the sum of its proper divisors (439633320).

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

130330200 is a wasteful number, since it uses less digits than its factorization.

130330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 130330200 is about 11416.2252956045. The cubic root of 130330200 is about 507.0082434304.

Adding to 130330200 its reverse (2033031), we get a palindrome (132363231).

The spelling of 130330200 in words is "one hundred thirty million, three hundred thirty thousand, two hundred".