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13313047410000 = 243454137117807
BaseRepresentation
bin1100000110111010111101…
…1101100011010101010000
31202010201022011102122210000
43001232233131203111100
53221110110114110000
644151532441010000
72542556503601202
oct301565735432520
952121264378700
1013313047410000
114273039213268
1215b01a8783900
13757551948270
143404d7d14772
15181482510000
hexc1baf763550

13313047410000 has 1000 divisors, whose sum is σ = 52586440752384. Its totient is φ = 3230720640000.

The previous prime is 13313047409887. The next prime is 13313047410001. The reversal of 13313047410000 is 1474031331.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313047410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 747621097 + ... + 747638903.

Almost surely, 213313047410000 is an apocalyptic number.

13313047410000 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 13313047410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293220376192).

13313047410000 is an abundant number, since it is smaller than the sum of its proper divisors (39273393342384).

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

13313047410000 is a wasteful number, since it uses less digits than its factorization.

13313047410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13313047410000 in words is "thirteen trillion, three hundred thirteen billion, forty-seven million, four hundred ten thousand".