Search a number
-
+
323212200330000 = 2435443924541549
BaseRepresentation
bin100100101111101011011010…
…0011000110100001100010000
31120101101210011222001000220110
41021133112310120310030100
5314331002041241030000
63103225345055241320
7125036211426020232
oct11137266430641420
91511353158030813
10323212200330000
1193a92584a63993
1230300833b19240
1310b46a1a040997
1459b57a8116252
152757757500850
hex125f5b4634310

323212200330000 has 200 divisors, whose sum is σ = 1045748822008000. Its totient is φ = 85993584192000.

The previous prime is 323212200329983. The next prime is 323212200330007. The reversal of 323212200330000 is 33002212323.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×3232122003300002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323212200330007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 899226 + ... + 25440774.

It is an arithmetic number, because the mean of its divisors is an integer number (5228744110040).

Almost surely, 2323212200330000 is an apocalyptic number.

323212200330000 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 323212200330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522874411004000).

323212200330000 is an abundant number, since it is smaller than the sum of its proper divisors (722536621678000).

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

323212200330000 is a wasteful number, since it uses less digits than its factorization.

323212200330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24542019 (or 24541998 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 323212200330000 its reverse (33002212323), we get a palindrome (323245202542323).

The spelling of 323212200330000 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred million, three hundred thirty thousand".