Search a number
-
+
2313351115200 = 263252379557761
BaseRepresentation
bin100001101010011110011…
…110001011000111000000
322012011011102020210200100
4201222132132023013000
5300400220341141300
64530423330522400
7326063666015466
oct41523636130700
98164142223610
102313351115200
118120a5439594
12314414736400
1313a1c041b638
147dd76c38836
1540297847700
hex21a9e78b1c0

2313351115200 has 504 divisors, whose sum is σ = 8269543460880. Its totient is φ = 613354291200.

The previous prime is 2313351115139. The next prime is 2313351115259. The reversal of 2313351115200 is 25111533132.

2313351115200 is a `hidden beast` number, since 2 + 3 + 133 + 5 + 1 + 1 + 1 + 520 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3039882820 + ... + 3039883580.

Almost surely, 22313351115200 is an apocalyptic number.

2313351115200 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 2313351115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134771730440).

2313351115200 is an abundant number, since it is smaller than the sum of its proper divisors (5956192345680).

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

2313351115200 is a wasteful number, since it uses less digits than its factorization.

2313351115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 2313351115200 its reverse (25111533132), we get a palindrome (2338462648332).

The spelling of 2313351115200 in words is "two trillion, three hundred thirteen billion, three hundred fifty-one million, one hundred fifteen thousand, two hundred".