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13323332302020 = 2232513531033103997
BaseRepresentation
bin1100000111100001010001…
…1111010011010011000100
31202011200211221021022021200
43001320110133103103010
53221242141032131040
644200353201542500
72543402411000136
oct301702437232304
952150757238250
1013323332302020
114277436822924
1215b2199044a30
137585006739a0
14340bd1c37056
151818853e5630
hexc1e147d34c4

13323332302020 has 288 divisors, whose sum is σ = 44387426315232. Its totient is φ = 3214564614144.

The previous prime is 13323332302013. The next prime is 13323332302031. The reversal of 13323332302020 is 2020323332331.

13323332302020 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 332 + 302 + 0 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1422943608384 + 11900388693636 = 1192872^2 + 3449694^2 .

It is a super-2 number, since 2×133233323020202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128060662 + ... + 128164658.

It is an arithmetic number, because the mean of its divisors is an integer number (154123008039).

Almost surely, 213323332302020 is an apocalyptic number.

13323332302020 is a gapful number since it is divisible by the number (10) 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 13323332302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193713157616).

13323332302020 is an abundant number, since it is smaller than the sum of its proper divisors (31064094013212).

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

13323332302020 is a wasteful number, since it uses less digits than its factorization.

13323332302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105111 (or 105106 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13323332302020 its reverse (2020323332331), we get a palindrome (15343655634351).

The spelling of 13323332302020 in words is "thirteen trillion, three hundred twenty-three billion, three hundred thirty-two million, three hundred two thousand, twenty".