Search a number
-
+
3035320112000 = 27531131556327
BaseRepresentation
bin101100001010110111001…
…011010101001110000000
3101202011200200021212111102
4230022313023111032000
5344212313422041000
610242223512033532
7432203030153411
oct54126713251600
911664620255442
103035320112000
11a702aa088690
124103226928a8
131902ca173a67
14a6ca5b2d808
1553e504573d5
hex2c2b72d5380

3035320112000 has 256 divisors, whose sum is σ = 8498199490560. Its totient is φ = 1068145920000.

The previous prime is 3035320111979. The next prime is 3035320112017. The reversal of 3035320112000 is 2110235303.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 5177837 + ... + 5734163.

It is an arithmetic number, because the mean of its divisors is an integer number (33196091760).

Almost surely, 23035320112000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3035320112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249099745280).

3035320112000 is an abundant number, since it is smaller than the sum of its proper divisors (5462879378560).

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

3035320112000 is a wasteful number, since it uses less digits than its factorization.

3035320112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556398 (or 556376 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 3035320112000 its reverse (2110235303), we get a palindrome (3037430347303).

The spelling of 3035320112000 in words is "three trillion, thirty-five billion, three hundred twenty million, one hundred twelve thousand".