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2001313003032 = 2333717229157931
BaseRepresentation
bin11101000111110111100…
…011001111011000011000
321002022201221111022112000
4131013313203033120120
5230242142112044112
64131220203121000
7264406254563160
oct35076743173030
97068657438460
102001313003032
1170183001a462
12283a4b813160
131169525a2a45
146cc14dd75a0
15370d33da7dc
hex1d1f78cf618

2001313003032 has 384 divisors, whose sum is σ = 6981857856000. Its totient is φ = 519607388160.

The previous prime is 2001313002989. The next prime is 2001313003033. The reversal of 2001313003032 is 2303003131002.

2001313003032 is a `hidden beast` number, since 200 + 131 + 30 + 0 + 303 + 2 = 666.

It is a super-2 number, since 2×20013130030322 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001313002996 and 2001313003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001313003033) 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 95 ways as a sum of consecutive naturals, for example, 12593107 + ... + 12751037.

It is an arithmetic number, because the mean of its divisors is an integer number (18181921500).

Almost surely, 22001313003032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001313003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490928928000).

2001313003032 is an abundant number, since it is smaller than the sum of its proper divisors (4980544852968).

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

2001313003032 is a wasteful number, since it uses less digits than its factorization.

2001313003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158016 (or 157989 counting only the distinct ones).

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

Adding to 2001313003032 its reverse (2303003131002), we get a palindrome (4304316134034).

The spelling of 2001313003032 in words is "two trillion, one billion, three hundred thirteen million, three thousand, thirty-two".