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13001412060 = 22345721343293
BaseRepresentation
bin11000001101111000…
…11100110111011100
31020120002110011110000
430012330130313130
5203111330141220
65550041214300
7640121115300
oct140674346734
936502404400
1013001412060
115571a5a34a
12262a191390
1312c2777640
148b4a15d00
15511630390
hex306f1cddc

13001412060 has 720 divisors, whose sum is σ = 52461120096. Its totient is φ = 2670216192.

The previous prime is 13001412049. The next prime is 13001412079. The reversal of 13001412060 is 6021410031.

It is a happy number.

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 239 ways as a sum of consecutive naturals, for example, 44373274 + ... + 44373566.

Almost surely, 213001412060 is an apocalyptic number.

13001412060 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 13001412060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26230560048).

13001412060 is an abundant number, since it is smaller than the sum of its proper divisors (39459708036).

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

13001412060 is a wasteful number, since it uses less digits than its factorization.

13001412060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13001412060 its reverse (6021410031), we get a palindrome (19022822091).

The spelling of 13001412060 in words is "thirteen billion, one million, four hundred twelve thousand, sixty".