Search a number
-
+
3022321320000 = 26325437226901
BaseRepresentation
bin101011111110110000011…
…000111000000001000000
3101200221010202202211002200
4223332300120320001000
5344004203224220000
610232234002513200
7431232640226553
oct53766030700100
911627122684080
103022321320000
11a65839658884
124098b5365800
1318c008105b68
14a63d15da69a
155393e193500
hex2bfb0638040

3022321320000 has 420 divisors, whose sum is σ = 11117829964956. Its totient is φ = 784166400000.

The previous prime is 3022321319989. The next prime is 3022321320001. The reversal of 3022321320000 is 231232203.

It is a happy number.

3022321320000 is a `hidden beast` number, since 3 + 0 + 22 + 321 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2441018765376 + 581302554624 = 1562376^2 + 762432^2 .

It is a super-2 number, since 2×30223213200002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3022321320001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 13206550 + ... + 13433450.

Almost surely, 23022321320000 is an apocalyptic number.

3022321320000 is a gapful number since it is divisible by the number (30) 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 3022321320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5558914982478).

3022321320000 is an abundant number, since it is smaller than the sum of its proper divisors (8095508644956).

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

3022321320000 is a wasteful number, since it uses less digits than its factorization.

3022321320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226976 (or 226948 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3022321320000 its reverse (231232203), we get a palindrome (3022552552203).

The spelling of 3022321320000 in words is "three trillion, twenty-two billion, three hundred twenty-one million, three hundred twenty thousand".