Search a number
-
+
332323120010112 = 27371119976098363
BaseRepresentation
bin100101110001111110000000…
…1100001001101001110000000
31121120122210001121210102120020
41023203330001201031032000
5322024240222210310422
63134443044515413440
7126666360466352220
oct11343740141151600
91546583047712506
10332323120010112
1196985497666430
12313325445b4280
1311357c21ac488a
145c0c74c1c2080
1528647488dc95c
hex12e3f0184d380

332323120010112 has 512 divisors, whose sum is σ = 1170417533644800. Its totient is φ = 80931606036480.

The previous prime is 332323120010111. The next prime is 332323120010129. The reversal of 332323120010112 is 211010021323233.

It is a super-2 number, since 2×3323231200101122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332323120010111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51444643 + ... + 57543005.

It is an arithmetic number, because the mean of its divisors is an integer number (2285971745400).

Almost surely, 2332323120010112 is an apocalyptic number.

332323120010112 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 332323120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585208766822400).

332323120010112 is an abundant number, since it is smaller than the sum of its proper divisors (838094413634688).

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

332323120010112 is a wasteful number, since it uses less digits than its factorization.

332323120010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6098514 (or 6098502 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 332323120010112 its reverse (211010021323233), we get a palindrome (543333141333345).

The spelling of 332323120010112 in words is "three hundred thirty-two trillion, three hundred twenty-three billion, one hundred twenty million, ten thousand, one hundred twelve".