Search a number
-
+
2022484101120 = 2113557116113
BaseRepresentation
bin11101011011100101011…
…100100100100000000000
321011100101101122112100000
4131123211130210200000
5231114021412213440
64145041045200000
7266056020132210
oct35334534444000
97140341575300
102022484101120
1170a80460483a
12287b79a00000
13118947792912
146dc62a48240
1537921d83730
hex1d6e5724800

2022484101120 has 576 divisors, whose sum is σ = 8307705893760. Its totient is φ = 462278098944.

The previous prime is 2022484101083. The next prime is 2022484101137. The reversal of 2022484101120 is 211014842202.

2022484101120 is a `hidden beast` number, since 2 + 0 + 2 + 248 + 410 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17360184 + ... + 17476296.

It is an arithmetic number, because the mean of its divisors is an integer number (14423100510).

Almost surely, 22022484101120 is an apocalyptic number.

2022484101120 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 2022484101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153852946880).

2022484101120 is an abundant number, since it is smaller than the sum of its proper divisors (6285221792640).

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

2022484101120 is an equidigital number, since it uses as much as digits as its factorization.

2022484101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116162 (or 116130 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 2022484101120 its reverse (211014842202), we get a palindrome (2233498943322).

The spelling of 2022484101120 in words is "two trillion, twenty-two billion, four hundred eighty-four million, one hundred one thousand, one hundred twenty".