Search a number
-
+
2320010101200 = 24352112192336563
BaseRepresentation
bin100001110000101011011…
…000001100000111010000
322012210100111022100012110
4201300223120030013100
5301002340041214300
64533444204025320
7326421004325031
oct41605330140720
98183314270173
102320010101200
11814a02246300
12315772832240
1313aa11b9653c
1480409386a88
1540537250550
hex21c2b60c1d0

2320010101200 has 720 divisors, whose sum is σ = 8972840701440. Its totient is φ = 509645030400.

The previous prime is 2320010101187. The next prime is 2320010101207. The reversal of 2320010101200 is 21010100232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320010101207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63434119 + ... + 63470681.

It is an arithmetic number, because the mean of its divisors is an integer number (12462278752).

Almost surely, 22320010101200 is an apocalyptic number.

2320010101200 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 2320010101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486420350720).

2320010101200 is an abundant number, since it is smaller than the sum of its proper divisors (6652830600240).

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

2320010101200 is a wasteful number, since it uses less digits than its factorization.

2320010101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36648 (or 36626 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 2320010101200 its reverse (21010100232), we get a palindrome (2341020201432).

The spelling of 2320010101200 in words is "two trillion, three hundred twenty billion, ten million, one hundred one thousand, two hundred".