Search a number
-
+
103231332000 = 25325319374079
BaseRepresentation
bin110000000100100010…
…0010001111010100000
3100212110100222000102200
41200021010101322200
53142404210111000
6115231313413200
710313111562336
oct1401104217240
9325410860380
10103231332000
113a864439715
121800bb6a200
1399720cb604
144dd4283b56
152a42c76500
hex1809111ea0

103231332000 has 576 divisors, whose sum is σ = 396170611200. Its totient is φ = 25368422400.

The previous prime is 103231331989. The next prime is 103231332007. The reversal of 103231332000 is 233132301.

103231332000 is a `hidden beast` number, since 1 + 0 + 32 + 313 + 320 + 0 + 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 (103231332007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25305961 + ... + 25310039.

It is an arithmetic number, because the mean of its divisors is an integer number (687796200).

Almost surely, 2103231332000 is an apocalyptic number.

103231332000 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 103231332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198085305600).

103231332000 is an abundant number, since it is smaller than the sum of its proper divisors (292939279200).

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

103231332000 is a wasteful number, since it uses less digits than its factorization.

103231332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103231332000 its reverse (233132301), we get a palindrome (103464464301).

The spelling of 103231332000 in words is "one hundred three billion, two hundred thirty-one million, three hundred thirty-two thousand".