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333320000020 = 2257297101149233
BaseRepresentation
bin1001101100110110110…
…10111001001000010100
31011212100122101101221221
410312123122321020110
520430114410000040
6413043004220124
733036660152500
oct4663332711024
91155318341857
10333320000020
111193a64a54a7
125472423a644
132557cc89457
14121c0491300
158a0c9db74a
hex4d9b6b9214

333320000020 has 288 divisors, whose sum is σ = 839957882400. Its totient is φ = 110754201600.

The previous prime is 333320000017. The next prime is 333320000021. The reversal of 333320000020 is 20000023333.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 98011572624 + 235308427396 = 313068^2 + 485086^2 .

It is a super-2 number, since 2×3333200000202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333319999949 and 333320000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333320000021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1430557824 + ... + 1430558056.

It is an arithmetic number, because the mean of its divisors is an integer number (2916520425).

Almost surely, 2333320000020 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 333320000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419978941200).

333320000020 is an abundant number, since it is smaller than the sum of its proper divisors (506637882380).

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

333320000020 is a wasteful number, since it uses less digits than its factorization.

333320000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 333320000020 its reverse (20000023333), we get a palindrome (353320023353).

The spelling of 333320000020 in words is "three hundred thirty-three billion, three hundred twenty million, twenty", and thus it is an aban number.