Search a number
-
+
3321321234000 = 2435372111027001
BaseRepresentation
bin110000010101001110001…
…011000001111001010000
3102202111220120212012202120
4300111032023001321100
5413404031213442000
611021443252414240
7461646302452500
oct60251613017120
912674816765676
103321321234000
111070623282720
1245783b917380
131b12789973b3
14b6a779aba00
155b5ddb556a0
hex3054e2c1e50

3321321234000 has 480 divisors, whose sum is σ = 13588567454592. Its totient is φ = 690144000000.

The previous prime is 3321321233963. The next prime is 3321321234001. The reversal of 3321321234000 is 4321231233.

It is a super-2 number, since 2×33213212340002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321321234001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2720500 + ... + 3747500.

Almost surely, 23321321234000 is an apocalyptic number.

3321321234000 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 3321321234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794283727296).

3321321234000 is an abundant number, since it is smaller than the sum of its proper divisors (10267246220592).

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

3321321234000 is a wasteful number, since it uses less digits than its factorization.

3321321234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027052 (or 1027029 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3321321234000 its reverse (4321231233), we get a palindrome (3325642465233).

The spelling of 3321321234000 in words is "three trillion, three hundred twenty-one billion, three hundred twenty-one million, two hundred thirty-four thousand".