Search a number
-
+
2022122431100 = 22521710691112707
BaseRepresentation
bin11101011011001111111…
…000111010001001111100
321011022110012002210100002
4131123033320322021330
5231112301320243400
64144541125253432
7266044036031522
oct35331770721174
97138405083302
102022122431100
1170a6394397a2
12287a98864278
131188ba8819a5
146dc2a9c0312
1537900241ed5
hex1d6cfe3a27c

2022122431100 has 72 divisors (see below), whose sum is σ = 4650474069360. Its totient is φ = 760556805120.

The previous prime is 2022122431099. The next prime is 2022122431157. The reversal of 2022122431100 is 11342212202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260947 + ... + 2373653.

It is an arithmetic number, because the mean of its divisors is an integer number (64589917630).

Almost surely, 22022122431100 is an apocalyptic number.

2022122431100 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 2022122431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325237034680).

2022122431100 is an abundant number, since it is smaller than the sum of its proper divisors (2628351638260).

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

2022122431100 is a wasteful number, since it uses less digits than its factorization.

2022122431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113807 (or 1113800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2022122431100 its reverse (11342212202), we get a palindrome (2033464643302).

The spelling of 2022122431100 in words is "two trillion, twenty-two billion, one hundred twenty-two million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1069 1700 2138 4276 5345 10690 18173 21380 26725 36346 53450 72692 90865 106900 181730 363460 454325 908650 1112707 1817300 2225414 4450828 5563535 11127070 18916019 22254140 27817675 37832038 55635350 75664076 94580095 111270700 189160190 378320380 472900475 945800950 1189483783 1891601900 2378967566 4757935132 5947418915 11894837830 20221224311 23789675660 29737094575 40442448622 59474189150 80884897244 101106121555 118948378300 202212243110 404424486220 505530607775 1011061215550 2022122431100