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13112121133323 = 344713567253867
BaseRepresentation
bin1011111011001110011101…
…0100101000100100001011
31201102111200021012020120000
42332303213110220210023
53204312111002231243
643515343021334043
72522214404455122
oct276634724504413
951374607166500
1013112121133323
1141a5901602753
121579272a07323
137416107623a4
143348b6bd6ab9
1517b122abd5d3
hexbece752890b

13112121133323 has 40 divisors (see below), whose sum is σ = 20005545787392. Its totient is φ = 8554762251504.

The previous prime is 13112121133259. The next prime is 13112121133351. The reversal of 13112121133323 is 32333112121131.

13112121133323 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 212 + 113 + 332 + 3 = 666.

It is not a de Polignac number, because 13112121133323 - 26 = 13112121133259 is a prime.

It is a super-2 number, since 2×131121211333232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13112121833323) 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 39 ways as a sum of consecutive naturals, for example, 51522636 + ... + 51776502.

Almost surely, 213112121133323 is an apocalyptic number.

13112121133323 is a deficient number, since it is larger than the sum of its proper divisors (6893424654069).

13112121133323 is a wasteful number, since it uses less digits than its factorization.

13112121133323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267493 (or 267484 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13112121133323 its reverse (32333112121131), we get a palindrome (45445233254454).

The spelling of 13112121133323 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred twenty-three".

Divisors: 1 3 9 27 47 81 141 423 1269 3807 13567 40701 122103 253867 366309 637649 761601 1098927 1912947 2284803 5738841 6854409 11931749 17216523 20563227 35795247 51649569 107385741 322157223 966471669 3444213589 10332640767 30997922301 92993766903 161878038683 278981300709 485634116049 1456902348147 4370707044441 13112121133323