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2001023020320 = 253541523194413
BaseRepresentation
bin11101000111100110010…
…001000010110100100000
321002021222201211200000120
4131013212101002310200
5230241043343122240
64131131323520240
7264366134014422
oct35074621026440
97067881750016
102001023020320
117016a1368125
1228398a689080
131169074a163c
146cbc86b0812
15370b7c09ad0
hex1d1e6442d20

2001023020320 has 192 divisors, whose sum is σ = 6469338927744. Its totient is φ = 519593287680.

The previous prime is 2001023020319. The next prime is 2001023020379. The reversal of 2001023020320 is 230203201002.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2001023020320.

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 31 ways as a sum of consecutive naturals, for example, 10195434 + ... + 10389846.

It is an arithmetic number, because the mean of its divisors is an integer number (33694473582).

Almost surely, 22001023020320 is an apocalyptic number.

2001023020320 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 2001023020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234669463872).

2001023020320 is an abundant number, since it is smaller than the sum of its proper divisors (4468315907424).

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

2001023020320 is a wasteful number, since it uses less digits than its factorization.

2001023020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194995 (or 194987 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2001023020320 its reverse (230203201002), we get a palindrome (2231226221322).

The spelling of 2001023020320 in words is "two trillion, one billion, twenty-three million, twenty thousand, three hundred twenty".