Search a number
-
+
2120023033200 = 2433521731134673
BaseRepresentation
bin11110110110011011001…
…110000100010101110000
321111200011001100200002000
4132312123032010111300
5234213301344030300
64301531455054000
7306111101311452
oct36663316042560
97450131320060
102120023033200
11748107808106
122a2a5b511300
13124bc0454647
1474876cb02d2
153a22eed2c00
hex1ed9b384570

2120023033200 has 240 divisors, whose sum is σ = 7589335129440. Its totient is φ = 562071121920.

The previous prime is 2120023033181. The next prime is 2120023033207. The reversal of 2120023033200 is 23303200212.

It is a happy number.

2120023033200 is a `hidden beast` number, since 2 + 1 + 200 + 230 + 33 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21200230332002 (a number of 25 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 (2120023033207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1301064 + ... + 2435736.

It is an arithmetic number, because the mean of its divisors is an integer number (31622229706).

Almost surely, 22120023033200 is an apocalyptic number.

2120023033200 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 2120023033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794667564720).

2120023033200 is an abundant number, since it is smaller than the sum of its proper divisors (5469312096240).

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

2120023033200 is a wasteful number, since it uses less digits than its factorization.

2120023033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134873 (or 1134856 counting only the distinct ones).

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

Adding to 2120023033200 its reverse (23303200212), we get a palindrome (2143326233412).

The spelling of 2120023033200 in words is "two trillion, one hundred twenty billion, twenty-three million, thirty-three thousand, two hundred".