Search a number
-
+
332310313102020 = 2235113147439778593
BaseRepresentation
bin100101110001111000000011…
…0001010101110101011000100
31121120121120000002100002101220
41023203300012022232223010
5322024033010123231040
63134433130023120340
7126665425226420601
oct11343600612565304
91546546002302356
10332310313102020
1196980015485870
123132bb6b5a30b0
131135696072ba56
145c0bc9535b6a8
1528642493cd2d0
hex12e3c062aeac4

332310313102020 has 384 divisors, whose sum is σ = 1070351349645312. Its totient is φ = 76284287385600.

The previous prime is 332310313101997. The next prime is 332310313102039. The reversal of 332310313102020 is 20201313013233.

It is a super-2 number, since 2×3323103131020202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4228203844 + ... + 4228282436.

It is an arithmetic number, because the mean of its divisors is an integer number (2787373306368).

Almost surely, 2332310313102020 is an apocalyptic number.

332310313102020 is a gapful number since it is divisible by the number (30) 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 332310313102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535175674822656).

332310313102020 is an abundant number, since it is smaller than the sum of its proper divisors (738041036543292).

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

332310313102020 is a wasteful number, since it uses less digits than its factorization.

332310313102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83091 (or 83089 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332310313102020 its reverse (20201313013233), we get a palindrome (352511626115253).

The spelling of 332310313102020 in words is "three hundred thirty-two trillion, three hundred ten billion, three hundred thirteen million, one hundred two thousand, twenty".