Search a number
-
+
322112340421312 = 26722331532718103
BaseRepresentation
bin100100100111101011001111…
…1101000001110101011000000
31120020111122020211120122022211
41021033112133220032223000
5314204442033121440222
63101024211044311504
7124563564035033200
oct11117263750165300
91506448224518284
10322112340421312
11936a9092797641
12301636430a2594
1310a970a92a549c
14597846b4b8400
152738d33ec3277
hex124f59fa0eac0

322112340421312 has 336 divisors, whose sum is σ = 816017788588032. Its totient is φ = 125375390300160.

The previous prime is 322112340421241. The next prime is 322112340421379. The reversal of 322112340421312 is 213124043211223.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117147253 + ... + 119865355.

Almost surely, 2322112340421312 is an apocalyptic number.

322112340421312 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 322112340421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408008894294016).

322112340421312 is an abundant number, since it is smaller than the sum of its proper divisors (493905448166720).

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

322112340421312 is a wasteful number, since it uses less digits than its factorization.

322112340421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718236 (or 2718219 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 322112340421312 its reverse (213124043211223), we get a palindrome (535236383632535).

The spelling of 322112340421312 in words is "three hundred twenty-two trillion, one hundred twelve billion, three hundred forty million, four hundred twenty-one thousand, three hundred twelve".