Search a number
-
+
201320023320 = 233351330834651
BaseRepresentation
bin1011101101111110011…
…0111100010100011000
3201020122100010211002000
42323133212330110120
511244300411221240
6232252442441000
720354616651333
oct2733746742430
9636570124060
10201320023320
11784199a5269
1233025803160
1315ca4948070
149a5b53561a
1553842bc430
hex2edf9bc518

201320023320 has 256 divisors, whose sum is σ = 723077107200. Its totient is φ = 49528972800.

The previous prime is 201320023279. The next prime is 201320023343. The reversal of 201320023320 is 23320023102.

It is a happy number.

201320023320 is a `hidden beast` number, since 2 + 0 + 1 + 320 + 0 + 23 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201320023293 and 201320023302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43282995 + ... + 43287645.

It is an arithmetic number, because the mean of its divisors is an integer number (2824519950).

Almost surely, 2201320023320 is an apocalyptic number.

201320023320 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 201320023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361538553600).

201320023320 is an abundant number, since it is smaller than the sum of its proper divisors (521757083880).

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

201320023320 is a wasteful number, since it uses less digits than its factorization.

201320023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201320023320 its reverse (23320023102), we get a palindrome (224640046422).

The spelling of 201320023320 in words is "two hundred one billion, three hundred twenty million, twenty-three thousand, three hundred twenty".