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332311320121000 = 235311171979020639
BaseRepresentation
bin100101110001111000100001…
…0001100001100111010101000
31121120121122121021012221202011
41023203301002030030322220
5322024042040422333000
63134433413555045304
7126665462205064153
oct11343610214147250
91546548537187664
10332311320121000
1196980491963060
12313301b08a0834
1311356a9125597c
145c0bd4cdb4c9a
1528642a79e92ba
hex12e3c4230cea8

332311320121000 has 256 divisors, whose sum is σ = 902759671756800. Its totient is φ = 113154883072000.

The previous prime is 332311320120947. The next prime is 332311320121009. The reversal of 332311320121000 is 121023113233.

It is a super-2 number, since 2×3323113201210002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (332311320121009) 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, 32328681 + ... + 41349319.

It is an arithmetic number, because the mean of its divisors is an integer number (3526404967800).

Almost surely, 2332311320121000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332311320121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451379835878400).

332311320121000 is an abundant number, since it is smaller than the sum of its proper divisors (570448351635800).

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

332311320121000 is a wasteful number, since it uses less digits than its factorization.

332311320121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020885 (or 9020871 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 332311320121000 its reverse (121023113233), we get a palindrome (332432343234233).

The spelling of 332311320121000 in words is "three hundred thirty-two trillion, three hundred eleven billion, three hundred twenty million, one hundred twenty-one thousand".