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13330301020020 = 2232574057227889
BaseRepresentation
bin1100000111111011001111…
…0110110110011101110100
31202012100211121010212020100
43001332303312312131310
53221400424030120040
644203504501434100
72544040200061215
oct301766366663564
952170747125210
1013330301020020
11427a3924508a6
1215b3602a0b930
1375907134626a
1434129356d40c
15181b420d0b30
hexc1fb3db6774

13330301020020 has 36 divisors (see below), whose sum is σ = 40435246427940. Its totient is φ = 3554746938624.

The previous prime is 13330301019983. The next prime is 13330301020021. The reversal of 13330301020020 is 2002010303331.

13330301020020 is a `hidden beast` number, since 13 + 330 + 301 + 0 + 2 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7973835144804 + 5356465875216 = 2823798^2 + 2314404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13330301019975 and 13330301020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330301020021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37028613765 + ... + 37028614124.

It is an arithmetic number, because the mean of its divisors is an integer number (1123201289665).

Almost surely, 213330301020020 is an apocalyptic number.

13330301020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330301020020 is an abundant number, since it is smaller than the sum of its proper divisors (27104945407920).

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

13330301020020 is a wasteful number, since it uses less digits than its factorization.

13330301020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74057227904 (or 74057227899 counting only the distinct ones).

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

Adding to 13330301020020 its reverse (2002010303331), we get a palindrome (15332311323351).

The spelling of 13330301020020 in words is "thirteen trillion, three hundred thirty billion, three hundred one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 74057227889 148114455778 222171683667 296228911556 370286139445 444343367334 666515051001 740572278890 888686734668 1110858418335 1333030102002 1481144557780 2221716836670 2666060204004 3332575255005 4443433673340 6665150510010 13330301020020