Search a number
-
+
201202324323000 = 23353711131914472437
BaseRepresentation
bin101101101111111000010001…
…000100011011101010111000
3222101101202100220222000021220
4231233320101010123222320
5202332444330011314000
61551531023300232040
760244250106404460
oct5557702104335270
9871352326860256
10201202324323000
1159122476823740
121a69643739b620
1388363b4286a30
14379835cb0cba0
15183db02d531a0
hexb6fe1111bab8

201202324323000 has 2048 divisors, whose sum is σ = 888193061683200. Its totient is φ = 36520823808000.

The previous prime is 201202324322963. The next prime is 201202324323053. The reversal of 201202324323000 is 323423202102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 82561477782 + ... + 82561480218.

It is an arithmetic number, because the mean of its divisors is an integer number (433688018400).

Almost surely, 2201202324323000 is an apocalyptic number.

201202324323000 is a gapful number since it is divisible by the number (20) 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 201202324323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444096530841600).

201202324323000 is an abundant number, since it is smaller than the sum of its proper divisors (686990737360200).

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

201202324323000 is a wasteful number, since it uses less digits than its factorization.

201202324323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201202324323000 its reverse (323423202102), we get a palindrome (201525747525102).

The spelling of 201202324323000 in words is "two hundred one trillion, two hundred two billion, three hundred twenty-four million, three hundred twenty-three thousand".