Search a number
-
+
2022002011120 = 24571319292112389
BaseRepresentation
bin11101011011001000101…
…101100010101111110000
321011022010210111211011211
4131123020231202233300
5231112030003323440
64144521144245504
7266041044341050
oct35331055425760
97138123454154
102022002011120
1170a587470453
12287a64470894
1311889b93b870
146dc189d5560
15378e48a6eea
hex1d6c8b62bf0

2022002011120 has 640 divisors, whose sum is σ = 6333094656000. Its totient is φ = 582326599680.

The previous prime is 2022002011109. The next prime is 2022002011121. The reversal of 2022002011120 is 211102002202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2022002011120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022002011121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 846378886 + ... + 846381274.

It is an arithmetic number, because the mean of its divisors is an integer number (9895460400).

Almost surely, 22022002011120 is an apocalyptic number.

2022002011120 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 2022002011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166547328000).

2022002011120 is an abundant number, since it is smaller than the sum of its proper divisors (4311092644880).

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

2022002011120 is a wasteful number, since it uses less digits than its factorization.

2022002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2022002011120 its reverse (211102002202), we get a palindrome (2233104013322).

The spelling of 2022002011120 in words is "two trillion, twenty-two billion, two million, eleven thousand, one hundred twenty".