Search a number
-
+
2001020022000 = 2432531313172677
BaseRepresentation
bin11101000111100110000…
…101100110110011110000
321002021222112012100002200
4131013212011212303300
5230241042111201000
64131131135343200
7264366066356106
oct35074605466360
97067875170080
102001020022000
1170169a6aa47a
12283989681b00
1311690699199c
146cbc812dc76
15370b7816500
hex1d1e6166cf0

2001020022000 has 480 divisors, whose sum is σ = 7067100515904. Its totient is φ = 527664384000.

The previous prime is 2001020021999. The next prime is 2001020022041. The reversal of 2001020022000 is 2200201002.

It is a super-2 number, since 2×20010200220002 (a number of 25 digits) contains 22 as substring.

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, 747484662 + ... + 747487338.

Almost surely, 22001020022000 is an apocalyptic number.

2001020022000 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 2001020022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533550257952).

2001020022000 is an abundant number, since it is smaller than the sum of its proper divisors (5066080493904).

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

2001020022000 is a wasteful number, since it uses less digits than its factorization.

2001020022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2001020022000 its reverse (2200201002), we get a palindrome (2003220223002).

The spelling of 2001020022000 in words is "two trillion, one billion, twenty million, twenty-two thousand".