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13332033117 = 3213591931339
BaseRepresentation
bin11000110101010011…
…01010111001011101
31021102010120110021100
430122221222321131
5204301000024432
610042531423313
7651244261134
oct143251527135
937363513240
1013332033117
115721648897
122700a54b39
131346106cc0
149068ba91b
1553068c07c
hex31aa6ae5d

13332033117 has 24 divisors (see below), whose sum is σ = 21090232800. Its totient is φ = 8065267488.

The previous prime is 13332033061. The next prime is 13332033119. The reversal of 13332033117 is 71133023331.

13332033117 is a `hidden beast` number, since 1 + 3 + 3 + 320 + 331 + 1 + 7 = 666.

It is not a de Polignac number, because 13332033117 - 210 = 13332032093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332033119) 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 23 ways as a sum of consecutive naturals, for example, 958767 + ... + 972572.

It is an arithmetic number, because the mean of its divisors is an integer number (878759700).

Almost surely, 213332033117 is an apocalyptic number.

It is an amenable number.

13332033117 is a deficient number, since it is larger than the sum of its proper divisors (7758199683).

13332033117 is a wasteful number, since it uses less digits than its factorization.

13332033117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931417 (or 1931414 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

Adding to 13332033117 its reverse (71133023331), we get a palindrome (84465056448).

The spelling of 13332033117 in words is "thirteen billion, three hundred thirty-two million, thirty-three thousand, one hundred seventeen".

Divisors: 1 3 9 13 39 59 117 177 531 767 2301 6903 1931339 5794017 17382051 25107407 75322221 113949001 225966663 341847003 1025541009 1481337013 4444011039 13332033117