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13122343055133 = 3213233761235419
BaseRepresentation
bin1011111011110100100010…
…0110001010111100011101
31201110111001122112200011200
42332331020212022330131
53204444024310231013
643524153212510113
72523025615406334
oct276751046127435
951414048480150
1013122343055133
1141aa177612914
12157b24617b339
1374257c410c30
143351a6606d1b
1517b5201b5e73
hexbef4898af1d

13122343055133 has 144 divisors (see below), whose sum is σ = 22240836858240. Its totient is φ = 7392014277120.

The previous prime is 13122343055123. The next prime is 13122343055137. The reversal of 13122343055133 is 33155034322131.

13122343055133 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 34 + 30 + 551 + 33 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13122343055133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122343055137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370471098 + ... + 370506516.

It is an arithmetic number, because the mean of its divisors is an integer number (154450255960).

Almost surely, 213122343055133 is an apocalyptic number.

13122343055133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13122343055133 is a deficient number, since it is larger than the sum of its proper divisors (9118493803107).

13122343055133 is a wasteful number, since it uses less digits than its factorization.

13122343055133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35620 (or 35556 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 13122343055133 its reverse (33155034322131), we get a palindrome (46277377377264).

The spelling of 13122343055133 in words is "thirteen trillion, one hundred twenty-two billion, three hundred forty-three million, fifty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 13 23 37 39 61 69 111 117 183 207 299 333 481 549 793 851 897 1403 1443 2257 2379 2553 2691 3721 4209 4329 6771 7137 7659 11063 11163 12627 18239 20313 29341 33189 33489 35419 48373 51911 54717 85583 88023 99567 106257 137677 145119 155733 164151 256749 264069 318771 413031 435357 460447 467199 674843 770247 814637 1112579 1239093 1310503 1381341 1789801 2024529 2160559 2443911 3166571 3337737 3931509 4144023 5369403 6073587 6481677 7331733 9499713 10013211 10590281 11794527 16108209 17036539 19445031 28087267 28499139 30141569 31770843 41165423 49692857 51109617 79940683 84261801 90424707 95312529 123496269 131794099 149078571 153328851 239822049 252785403 271274121 370488807 391840397 395382297 447235713 646007141 719466147 1039228879 1175521191 1186146891 1713323287 1838635709 1938021423 3031264277 3117686637 3526563573 4876381663 5139969861 5515907127 5814064269 9093792831 9353059911 14629144989 15419909583 16547721381 23902264217 27281378493 39406435601 43887434967 63392961619 71706792651 112156778249 118219306803 190178884857 215120377953 336470334747 354657920409 570536654571 1009411004241 1458038117237 4374114351711 13122343055133