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13314133971 = 332112337043
BaseRepresentation
bin11000110011001010…
…11000111111010011
31021100212220002021000
430121211120333103
5204231404241341
610041052033043
7650636162055
oct143145307723
937325802230
1013314133971
115712532a06
1226b6a62783
1313424aaba8
1490437b8d5
1552dd038b6
hex319958fd3

13314133971 has 16 divisors (see below), whose sum is σ = 19818133120. Its totient is φ = 8834018760.

The previous prime is 13314133949. The next prime is 13314133991. The reversal of 13314133971 is 17933141331.

13314133971 is a `hidden beast` number, since 1 + 3 + 314 + 1 + 339 + 7 + 1 = 666.

It is not a de Polignac number, because 13314133971 - 26 = 13314133907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13314133991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1162825 + ... + 1174218.

It is an arithmetic number, because the mean of its divisors is an integer number (1238633320).

Almost surely, 213314133971 is an apocalyptic number.

13314133971 is a deficient number, since it is larger than the sum of its proper divisors (6503999149).

13314133971 is a wasteful number, since it uses less digits than its factorization.

13314133971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337263 (or 2337257 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The spelling of 13314133971 in words is "thirteen billion, three hundred fourteen million, one hundred thirty-three thousand, nine hundred seventy-one".

Divisors: 1 3 9 27 211 633 1899 5697 2337043 7011129 21033387 63100161 493116073 1479348219 4438044657 13314133971