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230013323100000 = 25325511293759367
BaseRepresentation
bin110100010011001000100110…
…011010101011111101100000
31010011102001120222002102101200
4310103020212122223331200
5220122014241203200000
62133110354545001200
766306625366341126
oct6423104632537540
91104361528072350
10230013323100000
1167320114500650
122196a158623200
139b462179c804b
1440b29c0603916
151b8d29383d500
hexd132266abf60

230013323100000 has 3456 divisors, whose sum is σ = 966276254361600. Its totient is φ = 51354777600000.

The previous prime is 230013323099893. The next prime is 230013323100017. The reversal of 230013323100000 is 1323310032.

230013323100000 is a `hidden beast` number, since 2 + 300 + 1 + 332 + 31 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2300133231000002 (a number of 30 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 626739299817 + ... + 626739300183.

It is an arithmetic number, because the mean of its divisors is an integer number (279593823600).

Almost surely, 2230013323100000 is an apocalyptic number.

230013323100000 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 230013323100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483138127180800).

230013323100000 is an abundant number, since it is smaller than the sum of its proper divisors (736262931261600).

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

230013323100000 is a wasteful number, since it uses less digits than its factorization.

230013323100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230013323100000 its reverse (1323310032), we get a palindrome (230014646410032).

The spelling of 230013323100000 in words is "two hundred thirty trillion, thirteen billion, three hundred twenty-three million, one hundred thousand".