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13355301301 = 315359311443
BaseRepresentation
bin11000111000000100…
…11011100110110101
31021110202100121012221
430130002123212311
5204322424120201
610045122242341
7651646121326
oct143402334665
937422317187
1013355301301
1157337a05a1
1227087b63b1
13134ab92b64
14909a1644d
155327364a1
hex31c09b9b5

13355301301 has 32 divisors (see below), whose sum is σ = 14362583040. Its totient is φ = 12397569600.

The previous prime is 13355301283. The next prime is 13355301307. The reversal of 13355301301 is 10310355331.

13355301301 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 13355301301 - 29 = 13355300789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13355301307) 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, 30147186 + ... + 30147628.

It is an arithmetic number, because the mean of its divisors is an integer number (448830720).

Almost surely, 213355301301 is an apocalyptic number.

It is an amenable number.

13355301301 is a deficient number, since it is larger than the sum of its proper divisors (1007281739).

13355301301 is a wasteful number, since it uses less digits than its factorization.

13355301301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897.

The product of its (nonzero) digits is 2025, while the sum is 25.

Adding to 13355301301 its reverse (10310355331), we get a palindrome (23665656632).

The spelling of 13355301301 in words is "thirteen billion, three hundred fifty-five million, three hundred one thousand, three hundred one".

Divisors: 1 31 53 59 311 443 1643 1829 3127 9641 13733 16483 18349 23479 26137 96937 137773 510973 568819 727849 810247 972497 1385261 4270963 7301969 8128607 30147407 42943091 226361039 251986817 430816171 13355301301