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13202113302000 = 2432537187955763
BaseRepresentation
bin1100000000011101101101…
…0001100000110111110000
31201202002221222100002010100
43000013123101200313300
53212300412001131000
644024544522032400
72531551450333620
oct300073321406760
951662858302110
1013202113302000
11422aa91864a77
1215927a9048700
13749c52a71c3c
14338db2a56880
1517d63d3eea00
hexc01db460df0

13202113302000 has 480 divisors, whose sum is σ = 52726798126080. Its totient is φ = 3015965836800.

The previous prime is 13202113301977. The next prime is 13202113302017. The reversal of 13202113302000 is 20331120231.

13202113302000 is a `hidden beast` number, since 1 + 320 + 2 + 11 + 330 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 236726119 + ... + 236781881.

It is an arithmetic number, because the mean of its divisors is an integer number (109847496096).

Almost surely, 213202113302000 is an apocalyptic number.

13202113302000 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 13202113302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363399063040).

13202113302000 is an abundant number, since it is smaller than the sum of its proper divisors (39524684824080).

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

13202113302000 is a wasteful number, since it uses less digits than its factorization.

13202113302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57678 (or 57659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13202113302000 its reverse (20331120231), we get a palindrome (13222444422231).

The spelling of 13202113302000 in words is "thirteen trillion, two hundred two billion, one hundred thirteen million, three hundred two thousand".