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13210133310000 = 2432541137360637
BaseRepresentation
bin1100000000111011100101…
…0011011010101000110000
31201202212122220101200211200
43000032321103122220300
53212413323111410000
644032352414411200
72532254263305264
oct300167123325060
951685586350750
1013210133310000
114233427958760
121594266b00b00
1374a93049bcc3
14339533c4c0a4
1517d95c54d500
hexc03b94daa30

13210133310000 has 600 divisors, whose sum is σ = 51759778431504. Its totient is φ = 3115895040000.

The previous prime is 13210133309977. The next prime is 13210133310001. The reversal of 13210133310000 is 1333101231.

It is a happy number.

13210133310000 is a `hidden beast` number, since 1 + 321 + 0 + 1 + 33 + 310 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×132101333100002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13210133310001) 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 119 ways as a sum of consecutive naturals, for example, 36449682 + ... + 36810318.

Almost surely, 213210133310000 is an apocalyptic number.

13210133310000 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 13210133310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25879889215752).

13210133310000 is an abundant number, since it is smaller than the sum of its proper divisors (38549645121504).

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

13210133310000 is a wasteful number, since it uses less digits than its factorization.

13210133310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360719 (or 360695 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13210133310000 its reverse (1333101231), we get a palindrome (13211466411231).

The spelling of 13210133310000 in words is "thirteen trillion, two hundred ten billion, one hundred thirty-three million, three hundred ten thousand".