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13031313310 = 2541157920129
BaseRepresentation
bin11000010001011101…
…00000111110011110
31020122011201022020201
430020232200332132
5203142004011220
65553030134114
7640633223041
oct141056407636
936564638221
1013031313310
115587922624
1226381b133a
1312c8a166a2
148b899ac58
15514089d0a
hex308ba0f9e

13031313310 has 32 divisors (see below), whose sum is σ = 24044882400. Its totient is φ = 5081917440.

The previous prime is 13031313301. The next prime is 13031313311. The reversal of 13031313310 is 1331313031.

It is a happy number.

13031313310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130313133102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031313311) 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 15 ways as a sum of consecutive naturals, for example, 637326 + ... + 657454.

It is an arithmetic number, because the mean of its divisors is an integer number (751402575).

Almost surely, 213031313310 is an apocalyptic number.

13031313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13031313310 is a deficient number, since it is larger than the sum of its proper divisors (11013569090).

13031313310 is a wasteful number, since it uses less digits than its factorization.

13031313310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21756.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 13031313310 its reverse (1331313031), we get a palindrome (14362626341).

The spelling of 13031313310 in words is "thirteen billion, thirty-one million, three hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 41 82 205 410 1579 3158 7895 15790 20129 40258 64739 100645 129478 201290 323695 647390 825289 1650578 4126445 8252890 31783691 63567382 158918455 317836910 1303131331 2606262662 6515656655 13031313310