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13330231322331 = 371126821376907
BaseRepresentation
bin1100000111111010111110…
…1100111110011011011011
31202012100122201222211222110
43001332233230332123123
53221400303204303311
644203453531523403
72544035362464030
oct301765754763333
952170581884873
1013330231322331
11427a357076a00
1215b35a35b9563
1375905ca82221
143412881c9387
15181b3ae148a6
hexc1fafb3e6db

13330231322331 has 48 divisors (see below), whose sum is σ = 22327837039872. Its totient is φ = 6924603935040.

The previous prime is 13330231322329. The next prime is 13330231322381. The reversal of 13330231322331 is 13322313203331.

It is not a de Polignac number, because 13330231322331 - 21 = 13330231322329 is a prime.

It is a super-2 number, since 2×133302313223312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13330231322381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173290780 + ... + 173367686.

It is an arithmetic number, because the mean of its divisors is an integer number (465163271664).

Almost surely, 213330231322331 is an apocalyptic number.

13330231322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13330231322331 is a deficient number, since it is larger than the sum of its proper divisors (8997605717541).

13330231322331 is a wasteful number, since it uses less digits than its factorization.

13330231322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145152 (or 145141 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 13330231322331 its reverse (13322313203331), we get a palindrome (26652544525662).

The spelling of 13330231322331 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 2541 68213 76907 204639 230721 477491 538349 750343 845977 1432473 1615047 2251029 2537931 5252401 5921839 8253773 9305747 15757203 17765517 24761319 27917241 57776411 65140229 173329233 195420687 5246057191 15738171573 36722400337 57706629101 110167201011 173119887303 403946403707 634772920111 1211839211121 1904318760333 4443410440777 13330231322331