Search a number
-
+
323212230212300 = 2252112132345987589
BaseRepresentation
bin100100101111101011011011…
…0001010110011101011001100
31120101101210021001021012201022
41021133112312022303223030
5314331002121413243200
63103225352043533312
7125036212241015522
oct11137266612635314
91511353231235638
10323212230212300
1193a9259a913a00
1230300841b2a238
1310b46a232a4210
1459b57ac094312
152757759e54885
hex125f5b62b3acc

323212230212300 has 216 divisors, whose sum is σ = 830274968115600. Its totient is φ = 108484955251200.

The previous prime is 323212230212279. The next prime is 323212230212303. The reversal of 323212230212300 is 3212032212323.

It is a super-2 number, since 2×3232122302123002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 323212230212300.

It is not an unprimeable number, because it can be changed into a prime (323212230212303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3690056906 + ... + 3690144494.

Almost surely, 2323212230212300 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 323212230212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415137484057800).

323212230212300 is an abundant number, since it is smaller than the sum of its proper divisors (507062737903300).

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

323212230212300 is a wasteful number, since it uses less digits than its factorization.

323212230212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111097 (or 111079 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 323212230212300 its reverse (3212032212323), we get a palindrome (326424262424623).

The spelling of 323212230212300 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, two hundred twelve thousand, three hundred".