Search a number
-
+
2301123300000 = 2535572156539
BaseRepresentation
bin100001011111000101101…
…000110000101010100000
322010222121020110102121220
4201133011220300222200
5300200200031100000
64521042122215040
7325151660215500
oct41370550605240
98128536412556
102301123300000
118079a0126a98
12311b81654480
13138cc2011125
147d536c77a00
153ecce0c61a0
hex217c5a30aa0

2301123300000 has 432 divisors, whose sum is σ = 8782799427360. Its totient is φ = 525967680000.

The previous prime is 2301123299987. The next prime is 2301123300053. The reversal of 2301123300000 is 33211032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14621731 + ... + 14778269.

It is an arithmetic number, because the mean of its divisors is an integer number (20330554230).

Almost surely, 22301123300000 is an apocalyptic number.

2301123300000 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 2301123300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391399713680).

2301123300000 is an abundant number, since it is smaller than the sum of its proper divisors (6481676127360).

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

2301123300000 is an equidigital number, since it uses as much as digits as its factorization.

2301123300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156591 (or 156556 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2301123300000 its reverse (33211032), we get a palindrome (2301156511032).

The spelling of 2301123300000 in words is "two trillion, three hundred one billion, one hundred twenty-three million, three hundred thousand".