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332121330000 = 24335419101641
BaseRepresentation
bin1001101010100111111…
…10010101000101010000
31011202021002212122211000
410311103332111011100
520420141030030000
6412324024422000
732665163503635
oct4652376250520
91152232778730
10332121330000
11118940917a19
125444a917900
132541b83c455
14121091ca18c
15898c665000
hex4d53f95150

332121330000 has 800 divisors, whose sum is σ = 1268346499200. Its totient is φ = 82944000000.

The previous prime is 332121329999. The next prime is 332121330043. The reversal of 332121330000 is 33121233.

332121330000 is a `hidden beast` number, since 332 + 1 + 2 + 1 + 330 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3321213300002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518129680 + ... + 518130320.

It is an arithmetic number, because the mean of its divisors is an integer number (1585433124).

Almost surely, 2332121330000 is an apocalyptic number.

332121330000 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 332121330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634173249600).

332121330000 is an abundant number, since it is smaller than the sum of its proper divisors (936225169200).

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

332121330000 is a wasteful number, since it uses less digits than its factorization.

332121330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332121330000 its reverse (33121233), we get a palindrome (332154451233).

The spelling of 332121330000 in words is "three hundred thirty-two billion, one hundred twenty-one million, three hundred thirty thousand".