Search a number
-
+
2324101304200 = 2352138926937337
BaseRepresentation
bin100001110100011111001…
…110111000111110001000
322020011220121121222122111
4201310133032320332020
5301034224413213300
64535402152432104
7326624253064414
oct41643716707610
98204817558574
102324101304200
11816711662705
123165149a8634
1313b21466b610
14806b687bd44
15406c64dd9ba
hex21d1f3b8f88

2324101304200 has 192 divisors, whose sum is σ = 5906610234000. Its totient is φ = 845310935040.

The previous prime is 2324101304179. The next prime is 2324101304233. The reversal of 2324101304200 is 24031014232.

It can be written as a sum of positive squares in 24 ways, for example, as 927303517156 + 1396797787044 = 962966^2 + 1181862^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62227932 + ... + 62265268.

Almost surely, 22324101304200 is an apocalyptic number.

2324101304200 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 2324101304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953305117000).

2324101304200 is an abundant number, since it is smaller than the sum of its proper divisors (3582508929800).

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

2324101304200 is a wasteful number, since it uses less digits than its factorization.

2324101304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37724 (or 37715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2324101304200 its reverse (24031014232), we get a palindrome (2348132318432).

The spelling of 2324101304200 in words is "two trillion, three hundred twenty-four billion, one hundred one million, three hundred four thousand, two hundred".