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2001022011000 = 2332532329333337
BaseRepresentation
bin11101000111100110001…
…101001100011001111000
321002021222122221101111100
4131013212031030121320
5230241043113323000
64131131250131400
7264366122311665
oct35074615143170
97067878841440
102001022011000
117016a0838881
1228398a280b60
1311690720a0cc
146cbc84caa6c
15370b7aaaa00
hex1d1e634c678

2001022011000 has 384 divisors, whose sum is σ = 7300902211200. Its totient is φ = 492803942400.

The previous prime is 2001022010969. The next prime is 2001022011013. The reversal of 2001022011000 is 1102201002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5836332 + ... + 6169668.

It is an arithmetic number, because the mean of its divisors is an integer number (19012766175).

Almost surely, 22001022011000 is an apocalyptic number.

2001022011000 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 2001022011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650451105600).

2001022011000 is an abundant number, since it is smaller than the sum of its proper divisors (5299880200200).

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

2001022011000 is a wasteful number, since it uses less digits than its factorization.

2001022011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333416 (or 333399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001022011000 its reverse (1102201002), we get a palindrome (2002124212002).

The spelling of 2001022011000 in words is "two trillion, one billion, twenty-two million, eleven thousand".