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13001300221 = 7131918714019
BaseRepresentation
bin11000001101111000…
…00001100011111101
31020120002020111000211
430012330001203331
5203111313101341
65550034552421
7640120141240
oct140674014375
936502214024
1013001300221
115571993318
12262a138711
1312c2738770
148b49c7257
1551160c181
hex306f018fd

13001300221 has 32 divisors (see below), whose sum is σ = 16856985600. Its totient is φ = 9737703360.

The previous prime is 13001300197. The next prime is 13001300281. The reversal of 13001300221 is 12200310031.

13001300221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13001300221 - 211 = 13001298173 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001300281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3232950 + ... + 3236968.

It is an arithmetic number, because the mean of its divisors is an integer number (526780800).

Almost surely, 213001300221 is an apocalyptic number.

It is an amenable number.

13001300221 is a deficient number, since it is larger than the sum of its proper divisors (3855685379).

13001300221 is a wasteful number, since it uses less digits than its factorization.

13001300221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13001300221 its reverse (12200310031), we get a palindrome (25201610252).

The spelling of 13001300221 in words is "thirteen billion, one million, three hundred thousand, two hundred twenty-one".

Divisors: 1 7 13 19 91 133 247 1729 1871 4019 13097 24323 28133 35549 52247 76361 170261 248843 365729 462137 534527 992693 3234959 6948851 7519549 52636843 97754137 142871431 684278959 1000100017 1857328603 13001300221