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13320332301120 = 2635137976917569
BaseRepresentation
bin1100000111010110000110…
…1011001101001101000000
31202011102002212020110201020
43001311201223031031000
53221220020032113440
644155135353305440
72543235152261625
oct301654153151500
952142085213636
1013320332301120
114276137361839
1215b16a0405280
13758142c8bc20
143409c963034c
1518175bd513d0
hexc1d61acd340

13320332301120 has 448 divisors, whose sum is σ = 46184417664000. Its totient is φ = 3232952745984.

The previous prime is 13320332301091. The next prime is 13320332301121. The reversal of 13320332301120 is 2110323302331.

It is a super-2 number, since 2×133203323011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320332301121) 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 63 ways as a sum of consecutive naturals, for example, 758163696 + ... + 758181264.

It is an arithmetic number, because the mean of its divisors is an integer number (103090218000).

Almost surely, 213320332301120 is an apocalyptic number.

13320332301120 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 13320332301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23092208832000).

13320332301120 is an abundant number, since it is smaller than the sum of its proper divisors (32864085362880).

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

13320332301120 is a wasteful number, since it uses less digits than its factorization.

13320332301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18450 (or 18440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13320332301120 its reverse (2110323302331), we get a palindrome (15430655603451).

The spelling of 13320332301120 in words is "thirteen trillion, three hundred twenty billion, three hundred thirty-two million, three hundred one thousand, one hundred twenty".