Search a number
-
+
2022201102000 = 243531767295903
BaseRepresentation
bin11101011011010100100…
…101000000111010110000
321011022122200010200112010
4131123110211000322300
5231112431440231000
64144553015402520
7266046012520662
oct35332445007260
97138580120463
102022201102000
1170a679892372
12287abb083440
13118900c68111
146dc3721c532
15379070d1d50
hex1d6d4940eb0

2022201102000 has 320 divisors, whose sum is σ = 7006135578624. Its totient is φ = 499956019200.

The previous prime is 2022201101951. The next prime is 2022201102001. The reversal of 2022201102000 is 2011022202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2022201102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6686049 + ... + 6981951.

Almost surely, 22022201102000 is an apocalyptic number.

2022201102000 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 2022201102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503067789312).

2022201102000 is an abundant number, since it is smaller than the sum of its proper divisors (4983934476624).

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

2022201102000 is a wasteful number, since it uses less digits than its factorization.

2022201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296013 (or 295997 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022201102000 its reverse (2011022202), we get a palindrome (2024212124202).

The spelling of 2022201102000 in words is "two trillion, twenty-two billion, two hundred one million, one hundred two thousand".