Search a number
-
+
321121132020 = 22365131694213
BaseRepresentation
bin1001010110001000100…
…11111001110111110100
31010200212111001201000000
410223010103321313310
520230124002211040
6403304312151300
732125452404613
oct4530423716764
91120774051000
10321121132020
11114206564407
125229a998530
1324387875970
14117842a787a
158546a87130
hex4ac44f9df4

321121132020 has 168 divisors, whose sum is σ = 1088844230376. Its totient is φ = 79045155072.

The previous prime is 321121132019. The next prime is 321121132051. The reversal of 321121132020 is 20231121123.

321121132020 is a `hidden beast` number, since 321 + 1 + 2 + 1 + 1 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59390664804 + 261730467216 = 243702^2 + 511596^2 .

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 = 321121131984 and 321121132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 657567 + ... + 1036646.

It is an arithmetic number, because the mean of its divisors is an integer number (6481215657).

Almost surely, 2321121132020 is an apocalyptic number.

321121132020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321121132020 is an abundant number, since it is smaller than the sum of its proper divisors (767723098356).

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

321121132020 is a wasteful number, since it uses less digits than its factorization.

321121132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694253 (or 1694236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321121132020 its reverse (20231121123), we get a palindrome (341352253143).

The spelling of 321121132020 in words is "three hundred twenty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, twenty".