Search a number
-
+
130213300200 = 23352298279049
BaseRepresentation
bin111100101000101010…
…0010100011111101000
3110110002210022000111020
41321101110110133220
54113134101101300
6135452534532440
712256543534554
oct1712124243750
9413083260436
10130213300200
1150250016795
12212a0207120
13c382137879
146433950864
1535c19488a0
hex1e515147e8

130213300200 has 192 divisors, whose sum is σ = 418131720000. Its totient is φ = 33481943040.

The previous prime is 130213300163. The next prime is 130213300201. The reversal of 130213300200 is 2003312031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130213300200.

It is not an unprimeable number, because it can be changed into a prime (130213300201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14385276 + ... + 14394324.

It is an arithmetic number, because the mean of its divisors is an integer number (2177769375).

Almost surely, 2130213300200 is an apocalyptic number.

130213300200 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 130213300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209065860000).

130213300200 is an abundant number, since it is smaller than the sum of its proper divisors (287918419800).

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

130213300200 is a wasteful number, since it uses less digits than its factorization.

130213300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924 (or 9915 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130213300200 its reverse (2003312031), we get a palindrome (132216612231).

The spelling of 130213300200 in words is "one hundred thirty billion, two hundred thirteen million, three hundred thousand, two hundred".