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2323113120000 = 28325410115973
BaseRepresentation
bin100001110011100100010…
…101010001000100000000
322020002100202012000202200
4201303210111101010000
5301030213424320000
64535120132313200
7326560623465051
oct41634425210400
98202322160680
102323113120000
1181625487a252
12316299a72800
1313b0b7a0a63a
1480621528728
1540669893500
hex21ce4551100

2323113120000 has 540 divisors, whose sum is σ = 8453355594684. Its totient is φ = 613324800000.

The previous prime is 2323113119989. The next prime is 2323113120019. The reversal of 2323113120000 is 213113232.

2323113120000 is a `hidden beast` number, since 232 + 311 + 3 + 120 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 845546455296 + 1477566664704 = 919536^2 + 1215552^2 .

It is a super-2 number, since 2×23231131200002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145432014 + ... + 145447986.

Almost surely, 22323113120000 is an apocalyptic number.

2323113120000 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 2323113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226677797342).

2323113120000 is an abundant number, since it is smaller than the sum of its proper divisors (6130242474684).

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

2323113120000 is a wasteful number, since it uses less digits than its factorization.

2323113120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16116 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2323113120000 its reverse (213113232), we get a palindrome (2323326233232).

The spelling of 2323113120000 in words is "two trillion, three hundred twenty-three billion, one hundred thirteen million, one hundred twenty thousand".