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13310002002000 = 24353117916315661
BaseRepresentation
bin1100000110101111100111…
…1100001111100001010000
31202010102102220221220101010
43001223321330033201100
53221032341003031000
644150310331210520
72542421154214524
oct301537174174120
952112386856333
1013310002002000
114271816159150
1215ab6988a6a40
13757187a257b2
143402c968bd84
15181354e9bd50
hexc1af9f0f850

13310002002000 has 640 divisors, whose sum is σ = 47698924216320. Its totient is φ = 3166076160000.

The previous prime is 13310002001993. The next prime is 13310002002007. The reversal of 13310002002000 is 20020001331.

It is a happy number.

13310002002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13310002001993) and next prime (13310002002007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310002002007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 849874170 + ... + 849889830.

It is an arithmetic number, because the mean of its divisors is an integer number (74529569088).

Almost surely, 213310002002000 is an apocalyptic number.

13310002002000 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 13310002002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849462108160).

13310002002000 is an abundant number, since it is smaller than the sum of its proper divisors (34388922214320).

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

13310002002000 is a wasteful number, since it uses less digits than its factorization.

13310002002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15940 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13310002002000 its reverse (20020001331), we get a palindrome (13330022003331).

The spelling of 13310002002000 in words is "thirteen trillion, three hundred ten billion, two million, two thousand".