Search a number
-
+
201003123222000 = 243253112549398261
BaseRepresentation
bin101101101100111110101111…
…110000100010010111110000
3222100200201012020221121012100
4231230332233300202113300
5202321213344021101000
61551255320545300400
760223665526110201
oct5554765760422760
9870621166847170
10201003123222000
1159055a44a11150
121a663903334700
138820689623578
14378c862b8b5a8
151838844ad9a00
hexb6cfafc225f0

201003123222000 has 480 divisors, whose sum is σ = 766160823729600. Its totient is φ = 48708791040000.

The previous prime is 201003123221987. The next prime is 201003123222007. The reversal of 201003123222000 is 222321300102.

201003123222000 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 312 + 322 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×2010031232220002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201003123222007) 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, 504502870 + ... + 504901130.

It is an arithmetic number, because the mean of its divisors is an integer number (1596168382770).

Almost surely, 2201003123222000 is an apocalyptic number.

201003123222000 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 201003123222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383080411864800).

201003123222000 is an abundant number, since it is smaller than the sum of its proper divisors (565157700507600).

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

201003123222000 is a wasteful number, since it uses less digits than its factorization.

201003123222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400850 (or 400831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201003123222000 its reverse (222321300102), we get a palindrome (201225444522102).

The spelling of 201003123222000 in words is "two hundred one trillion, three billion, one hundred twenty-three million, two hundred twenty-two thousand".