Search a number
-
+
323212230010000 = 2454598912594889
BaseRepresentation
bin100100101111101011011011…
…0001010000010010010010000
31120101101210021000212221012201
41021133112312022002102100
5314331002121340310000
63103225352035332544
7125036212236213652
oct11137266612022220
91511353230787181
10323212230010000
1193a9259a795a11
1230300841a51154
1310b46a23233106
1459b57ac0406d2
152757759e1496a
hex125f5b6282490

323212230010000 has 400 divisors, whose sum is σ = 805537739160000. Its totient is φ = 125540107264000.

The previous prime is 323212230009989. The next prime is 323212230010091. The reversal of 323212230010000 is 10032212323.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×3232122300100002 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323212230010000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66110087556 + ... + 66110092444.

It is an arithmetic number, because the mean of its divisors is an integer number (2013844347900).

Almost surely, 2323212230010000 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 323212230010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402768869580000).

323212230010000 is an abundant number, since it is smaller than the sum of its proper divisors (482325509150000).

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

323212230010000 is a wasteful number, since it uses less digits than its factorization.

323212230010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6303 counting only the distinct ones).

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

Adding to 323212230010000 its reverse (10032212323), we get a palindrome (323222262222323).

The spelling of 323212230010000 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, ten thousand".