Search a number
-
+
323220212031232 = 28176112710399227
BaseRepresentation
bin100100101111101111001000…
…1111011000001111100000000
31120101102112212022110121212201
41021133132101323001330000
5314331114443234444412
63103233152054002544
7125036614111243615
oct11137362173017400
91511375768417781
10323220212031232
1193a95a163a367a
12303022ab046454
1310b476c5b1cab9
1459b5d2818850c
152757a75a5ce57
hex125f791ec1f00

323220212031232 has 288 divisors, whose sum is σ = 700544922255360. Its totient is φ = 148273162813440.

The previous prime is 323220212031193. The next prime is 323220212031247. The reversal of 323220212031232 is 232130212022323.

It is a self number, because there is not a number n which added to its sum of digits gives 323220212031232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35029822203 + ... + 35029831429.

It is an arithmetic number, because the mean of its divisors is an integer number (2432447646720).

Almost surely, 2323220212031232 is an apocalyptic number.

323220212031232 is a gapful number since it is divisible by the number (32) 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 323220212031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350272461127680).

323220212031232 is an abundant number, since it is smaller than the sum of its proper divisors (377324710224128).

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

323220212031232 is a wasteful number, since it uses less digits than its factorization.

323220212031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10487 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 323220212031232 its reverse (232130212022323), we get a palindrome (555350424053555).

The spelling of 323220212031232 in words is "three hundred twenty-three trillion, two hundred twenty billion, two hundred twelve million, thirty-one thousand, two hundred thirty-two".