Search a number
-
+
3032020101000 = 2335311101909697
BaseRepresentation
bin101100000111110010011…
…110110010011110001000
3101201212011200201221102210
4230013302132302132020
5344134034121213000
610240520225225120
7432025166424162
oct54076236623610
911655150657383
103032020101000
11a69966336570
1240b7614921a0
1318cbc2589727
14a6a7174d932
1553d0a8a1350
hex2c1f27b2788

3032020101000 has 256 divisors, whose sum is σ = 10422082494720. Its totient is φ = 727756800000.

The previous prime is 3032020100987. The next prime is 3032020101017. The reversal of 3032020101000 is 1010202303.

It is a happy number.

3032020101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2878152 + ... + 3787848.

It is an arithmetic number, because the mean of its divisors is an integer number (40711259745).

Almost surely, 23032020101000 is an apocalyptic number.

3032020101000 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 3032020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211041247360).

3032020101000 is an abundant number, since it is smaller than the sum of its proper divisors (7390062393720).

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

3032020101000 is a wasteful number, since it uses less digits than its factorization.

3032020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909833 (or 909819 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 3032020101000 its reverse (1010202303), we get a palindrome (3033030303303).

The spelling of 3032020101000 in words is "three trillion, thirty-two billion, twenty million, one hundred one thousand".