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13321552352031 = 337116407673089
BaseRepresentation
bin1100000111011010101001…
…1001010101001100011111
31202011112020212222110221000
43001312222121111030133
53221230014400231111
644155500415241343
72543310325450440
oct301665231251437
952145225873830
1013321552352031
114276703013080
1215b1980b19253
137582a8983a41
14340aa369d2c7
151817cdeecc56
hexc1daa65531f

13321552352031 has 32 divisors (see below), whose sum is σ = 24605464665600. Its totient is φ = 6920286935040.

The previous prime is 13321552351973. The next prime is 13321552352093. The reversal of 13321552352031 is 13025325512331.

13321552352031 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 552 + 3 + 52 + 0 + 31 = 666.

It is not a de Polignac number, because 13321552352031 - 27 = 13321552351903 is a prime.

It is a super-2 number, since 2×133215523520312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321552352531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3203834466 + ... + 3203838623.

It is an arithmetic number, because the mean of its divisors is an integer number (768920770800).

Almost surely, 213321552352031 is an apocalyptic number.

13321552352031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13321552352031 is a deficient number, since it is larger than the sum of its proper divisors (11283912313569).

13321552352031 is a wasteful number, since it uses less digits than its factorization.

13321552352031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407673116 (or 6407673110 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13321552352031 its reverse (13025325512331), we get a palindrome (26346877864362).

The spelling of 13321552352031 in words is "thirteen trillion, three hundred twenty-one billion, five hundred fifty-two million, three hundred fifty-two thousand, thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 6407673089 19223019267 44853711623 57669057801 70484403979 134561134869 173007173403 211453211937 403683404607 493390827853 634359635811 1211050213821 1480172483559 1903078907433 4440517450677 13321552352031