Search a number
-
+
30321412000 = 2553111016823
BaseRepresentation
bin11100001111010011…
…000000011110100000
32220021011002022202021
4130033103000132200
5444044240141000
621532433031224
72122251515035
oct341723003640
986234068667
1030321412000
111194a712690
125a626b5514
132b22b4bc09
141678dd338c
15bc6e6711a
hex70f4c07a0

30321412000 has 192 divisors, whose sum is σ = 82089116928. Its totient is φ = 10915200000.

The previous prime is 30321411979. The next prime is 30321412001. The reversal of 30321412000 is 21412303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (30321412001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4440589 + ... + 4447411.

It is an arithmetic number, because the mean of its divisors is an integer number (427547484).

Almost surely, 230321412000 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 30321412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41044558464).

30321412000 is an abundant number, since it is smaller than the sum of its proper divisors (51767704928).

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

30321412000 is a wasteful number, since it uses less digits than its factorization.

30321412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30321412000 its reverse (21412303), we get a palindrome (30342824303).

The spelling of 30321412000 in words is "thirty billion, three hundred twenty-one million, four hundred twelve thousand".