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13332133023 = 31117109263829
BaseRepresentation
bin11000110101010100…
…00011010010011111
31021102010202112022120
430122222003102133
5204301011224043
610042533514023
7651245155326
oct143252032237
937363675276
1013332133023
115721706960
122700aa2913
131346140611
149069050bd
155306ab983
hex31aa8349f

13332133023 has 64 divisors (see below), whose sum is σ = 20825164800. Its totient is φ = 7497308160.

The previous prime is 13332132973. The next prime is 13332133037. The reversal of 13332133023 is 32033123331.

13332133023 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 13332133023 - 29 = 13332132511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13332132984 and 13332133002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332133523) 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 63 ways as a sum of consecutive naturals, for example, 16081773 + ... + 16082601.

It is an arithmetic number, because the mean of its divisors is an integer number (325393200).

Almost surely, 213332133023 is an apocalyptic number.

13332133023 is a deficient number, since it is larger than the sum of its proper divisors (7493031777).

13332133023 is a wasteful number, since it uses less digits than its factorization.

13332133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13332133023 its reverse (32033123331), we get a palindrome (45365256354).

The spelling of 13332133023 in words is "thirteen billion, three hundred thirty-two million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 11 17 33 51 109 187 263 327 561 789 829 1199 1853 2487 2893 3597 4471 5559 8679 9119 13413 14093 20383 27357 28667 42279 49181 61149 86001 90361 147543 155023 218027 271083 315337 465069 487339 654081 946011 993971 1462017 1536137 2398297 2981913 3706459 4608411 5360729 7194891 11119377 16082187 16897507 23764943 40771049 50692521 71294829 122313147 261414373 404004031 784243119 1212012093 4444044341 13332133023