Search a number
-
+
2003312320230 = 23513174337318839
BaseRepresentation
bin11101001001101110101…
…110000001111011100110
321002111220021120011010010
4131021232232001323212
5230310240423221410
64132150423311050
7264506642522244
oct35115656017346
97074807504103
102003312320230
11702666640021
122843092ab486
13116bb086b380
146cd64755794
153719dbb5c20
hex1d26eb81ee6

2003312320230 has 256 divisors, whose sum is σ = 5625203189760. Its totient is φ = 452083064832.

The previous prime is 2003312320183. The next prime is 2003312320237. The reversal of 2003312320230 is 320232133002.

It is a junction number, because it is equal to n+sod(n) for n = 2003312320197 and 2003312320206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003312320237) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 106329151 + ... + 106347989.

It is an arithmetic number, because the mean of its divisors is an integer number (21973449960).

Almost surely, 22003312320230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003312320230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812601594880).

2003312320230 is an abundant number, since it is smaller than the sum of its proper divisors (3621890869530).

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

2003312320230 is a wasteful number, since it uses less digits than its factorization.

2003312320230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19295.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2003312320230 its reverse (320232133002), we get a palindrome (2323544453232).

The spelling of 2003312320230 in words is "two trillion, three billion, three hundred twelve million, three hundred twenty thousand, two hundred thirty".