Search a number
-
+
2022221021100 = 2235276722364451
BaseRepresentation
bin11101011011010101110…
…000111111111110101100
321011022201001121200101120
4131123111300333332230
5231113002040133400
64144555010340540
7266046344032110
oct35332560777654
97138631550346
102022221021100
1170a68a057935
12287b0588a750
13118905120777
146dc39b25740
1537908c18ca0
hex1d6d5c3ffac

2022221021100 has 288 divisors, whose sum is σ = 6817153007616. Its totient is φ = 453274272000.

The previous prime is 2022221021081. The next prime is 2022221021129. The reversal of 2022221021100 is 11201222202.

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 2022221021100.

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, 31343875 + ... + 31408325.

Almost surely, 22022221021100 is an apocalyptic number.

2022221021100 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 2022221021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408576503808).

2022221021100 is an abundant number, since it is smaller than the sum of its proper divisors (4794931986516).

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

2022221021100 is a wasteful number, since it uses less digits than its factorization.

2022221021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64765 (or 64758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2022221021100 its reverse (11201222202), we get a palindrome (2033422243302).

The spelling of 2022221021100 in words is "two trillion, twenty-two billion, two hundred twenty-one million, twenty-one thousand, one hundred".