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13230122123133 = 331972109357649
BaseRepresentation
bin1100000010000110000010…
…1110101011111101111101
31201211210020221212121121000
43000201200232223331331
53213230242230420013
644045500104200513
72533562521360356
oct300414056537575
951753227777530
1013230122123133
114240955036933
121598105169139
1374c79775aa96
1433a4ac860d2d
1517e22c309973
hexc0860babf7d

13230122123133 has 32 divisors (see below), whose sum is σ = 20632113200000. Its totient is φ = 8355727362816.

The previous prime is 13230122123117. The next prime is 13230122123173. The reversal of 13230122123133 is 33132122103231.

13230122123133 is a `hidden beast` number, since 1 + 3 + 2 + 301 + 221 + 2 + 3 + 133 = 666.

It is not a de Polignac number, because 13230122123133 - 24 = 13230122123117 is a prime.

It is a super-2 number, since 2×132301221231332 (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 a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13230122123097 and 13230122123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230122123173) 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, 36813093 + ... + 37170741.

It is an arithmetic number, because the mean of its divisors is an integer number (644753537500).

Almost surely, 213230122123133 is an apocalyptic number.

It is an amenable number.

13230122123133 is a deficient number, since it is larger than the sum of its proper divisors (7401991076867).

13230122123133 is a wasteful number, since it uses less digits than its factorization.

13230122123133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429786 (or 429780 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13230122123133 its reverse (33132122103231), we get a palindrome (46362244226364).

The spelling of 13230122123133 in words is "thirteen trillion, two hundred thirty billion, one hundred twenty-two million, one hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 19 27 57 171 513 72109 216327 357649 648981 1072947 1370071 1946943 3218841 4110213 6795331 9656523 12330639 20385993 36991917 61157979 183473937 25789711741 77369135223 232107405669 490004523079 696322217007 1470013569237 4410040707711 13230122123133