Search a number
-
+
3022213120020 = 2233523942435519
BaseRepresentation
bin101011111110101001111…
…100001000000000010100
3101200220212020011200122000
4223332221330020000110
5344003443024320040
610232215135435300
7431230154442663
oct53765174100024
911626766150560
103022213120020
11a65793576606
12409885085b30
1318bcbb880bc3
14a63c10b2dda
155393491e130
hex2bfa9f08014

3022213120020 has 192 divisors, whose sum is σ = 9445718016000. Its totient is φ = 802216904832.

The previous prime is 3022213119977. The next prime is 3022213120081. The reversal of 3022213120020 is 200213122203.

3022213120020 is a `hidden beast` number, since 302 + 221 + 3 + 120 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3022213119975 and 3022213120002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547598821 + ... + 547604339.

It is an arithmetic number, because the mean of its divisors is an integer number (49196448000).

Almost surely, 23022213120020 is an apocalyptic number.

3022213120020 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 3022213120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722859008000).

3022213120020 is an abundant number, since it is smaller than the sum of its proper divisors (6423504895980).

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

3022213120020 is a wasteful number, since it uses less digits than its factorization.

3022213120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3022213120020 its reverse (200213122203), we get a palindrome (3222426242223).

The spelling of 3022213120020 in words is "three trillion, twenty-two billion, two hundred thirteen million, one hundred twenty thousand, twenty".