Search a number
-
+
201300222310000 = 2454116727313463
BaseRepresentation
bin101101110001010011011100…
…001111100111011001110000
3222101202010001121022000210021
4231301103130033213121300
5202341100323402410000
61552044013454013224
760254314110513262
oct5561233417473160
9871663047260707
10201300222310000
115915aa43676310
121a6b13b91a7214
1388426b64522a8
14379cda891bb32
15184143277911a
hexb714dc3e7670

201300222310000 has 200 divisors, whose sum is σ = 539609601953664. Its totient is φ = 72107539680000.

The previous prime is 201300222309971. The next prime is 201300222310001. The reversal of 201300222310000 is 13222003102.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2013002223100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201300222310001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6286732 + ... + 21026731.

Almost surely, 2201300222310000 is an apocalyptic number.

201300222310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201300222310000 is an abundant number, since it is smaller than the sum of its proper divisors (338309379643664).

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

201300222310000 is a wasteful number, since it uses less digits than its factorization.

201300222310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27313569 (or 27313548 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 201300222310000 its reverse (13222003102), we get a palindrome (201313444313102).

The spelling of 201300222310000 in words is "two hundred one trillion, three hundred billion, two hundred twenty-two million, three hundred ten thousand".