Search a number
-
+
3201244033020 = 22351166110217187
BaseRepresentation
bin101110100101011001000…
…000110110111111111100
3102100000222012102101102120
4232211121000312333330
5404422121433024040
610450344201322540
7450165545212365
oct56453100667774
912300865371376
103201244033020
111024704889340
1243850a196450
131a2b507bc997
14b0d262cab6c
15584120007d0
hex2e959036ffc

3201244033020 has 192 divisors, whose sum is σ = 9804094336512. Its totient is φ = 774018432000.

The previous prime is 3201244033003. The next prime is 3201244033049. The reversal of 3201244033020 is 203304421023.

It is a super-3 number, since 3×32012440330203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

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, 445417867 + ... + 445425053.

It is an arithmetic number, because the mean of its divisors is an integer number (51062991336).

Almost surely, 23201244033020 is an apocalyptic number.

3201244033020 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 3201244033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902047168256).

3201244033020 is an abundant number, since it is smaller than the sum of its proper divisors (6602850303492).

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

3201244033020 is a wasteful number, since it uses less digits than its factorization.

3201244033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3201244033020 its reverse (203304421023), we get a palindrome (3404548454043).

The spelling of 3201244033020 in words is "three trillion, two hundred one billion, two hundred forty-four million, thirty-three thousand, twenty".