Search a number
-
+
2301000123330 = 23653189233491
BaseRepresentation
bin100001011110111110010…
…010111000001111000010
322010222021122200102000000
4201132332102320033002
5300144422012421310
64521022002140430
7325145633224026
oct41367622701702
98128248612000
102301000123330
11807937645597
12311b48351716
13138ca264431c
147d524772386
153ecc33944c0
hex217be4b83c2

2301000123330 has 448 divisors, whose sum is σ = 6523281423360. Its totient is φ = 583423948800.

The previous prime is 2301000123271. The next prime is 2301000123343. The reversal of 2301000123330 is 333210001032.

2301000123330 is a `hidden beast` number, since 230 + 100 + 0 + 1 + 2 + 3 + 330 = 666.

2301000123330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4686354385 + ... + 4686354875.

Almost surely, 22301000123330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301000123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261640711680).

2301000123330 is an abundant number, since it is smaller than the sum of its proper divisors (4222281300030).

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

2301000123330 is a wasteful number, since it uses less digits than its factorization.

2301000123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

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

Adding to 2301000123330 its reverse (333210001032), we get a palindrome (2634210124362).

The spelling of 2301000123330 in words is "two trillion, three hundred one billion, one hundred twenty-three thousand, three hundred thirty".