Search a number
-
+
323320201012000 = 2553234359180621
BaseRepresentation
bin100100110000011101101100…
…1101110101110001100100000
31120101210002221201101010120201
41021200323121232232030200
5314334234232424341000
63103351125544514544
7125050053662456233
oct11140733156561440
91511702851333521
10323320201012000
1194024366592875
123031975517ba54
1310b53c6c271a8a
1459baad197b41a
15275a478d1c96a
hex1260ed9bae320

323320201012000 has 192 divisors, whose sum is σ = 828966064163328. Its totient is φ = 123700748160000.

The previous prime is 323320201011989. The next prime is 323320201012001. The reversal of 323320201012000 is 210102023323.

It is not an unprimeable number, because it can be changed into a prime (323320201012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4010331690 + ... + 4010412310.

It is an arithmetic number, because the mean of its divisors is an integer number (4317531584184).

Almost surely, 2323320201012000 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 323320201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414483032081664).

323320201012000 is an abundant number, since it is smaller than the sum of its proper divisors (505645863151328).

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

323320201012000 is a wasteful number, since it uses less digits than its factorization.

323320201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124260 (or 124242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 323320201012000 its reverse (210102023323), we get a palindrome (323530303035323).

The spelling of 323320201012000 in words is "three hundred twenty-three trillion, three hundred twenty billion, two hundred one million, twelve thousand".