Search a number
-
+
130103220000 = 2535413166799
BaseRepresentation
bin111100100101011000…
…0011001011100100000
3110102211010011100211210
41321022300121130200
54112422411020000
6135434003310120
712254036060205
oct1711260313440
9412733140753
10130103220000
11501a396a916
122126b37b340
13c3653a4b60
146423097cac
1535b6e52350
hex1e4ac19720

130103220000 has 240 divisors, whose sum is σ = 459595382400. Its totient is φ = 32025216000.

The previous prime is 130103219989. The next prime is 130103220001. The reversal of 130103220000 is 22301031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (130103220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 696601 + ... + 863399.

It is an arithmetic number, because the mean of its divisors is an integer number (1914980760).

Almost surely, 2130103220000 is an apocalyptic number.

130103220000 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 130103220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229797691200).

130103220000 is an abundant number, since it is smaller than the sum of its proper divisors (329492162400).

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

130103220000 is a wasteful number, since it uses less digits than its factorization.

130103220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166845 (or 166822 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130103220000 its reverse (22301031), we get a palindrome (130125521031).

The spelling of 130103220000 in words is "one hundred thirty billion, one hundred three million, two hundred twenty thousand".