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13354104000 = 263534311291
BaseRepresentation
bin11000110111111011…
…10111010011000000
31021110200002202211110
430123331313103000
5204322122312000
610045040443320
7651633003546
oct143375672300
937420082743
1013354104000
115733052a96
122708319540
13134a863bb3
149097c3d96
1553259b850
hex31bf774c0

13354104000 has 224 divisors, whose sum is σ = 44231795712. Its totient is φ = 3550080000.

The previous prime is 13354103981. The next prime is 13354104041. The reversal of 13354104000 is 40145331.

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 31 ways as a sum of consecutive naturals, for example, 10343355 + ... + 10344645.

Almost surely, 213354104000 is an apocalyptic number.

13354104000 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 13354104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22115897856).

13354104000 is an abundant number, since it is smaller than the sum of its proper divisors (30877691712).

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

13354104000 is a wasteful number, since it uses less digits than its factorization.

13354104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 13354104000 its reverse (40145331), we get a palindrome (13394249331).

The spelling of 13354104000 in words is "thirteen billion, three hundred fifty-four million, one hundred four thousand".