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122343020555049 = 327231371399440527
BaseRepresentation
bin11011110100010100110100…
…010001111110101100101001
3121001011212201110022112201100
4123310110310101332230221
5112013432001230230144
61112111335134512013
734524664046251410
oct3364246421765451
9531155643275640
10122343020555049
1135a8942469a018
121187aa92065609
135335b885a2678
14222d610466477
15e22651a7d269
hex6f453447eb29

122343020555049 has 96 divisors (see below), whose sum is σ = 212434583961600. Its totient is φ = 66335011243776.

The previous prime is 122343020555047. The next prime is 122343020555081. The reversal of 122343020555049 is 940555020343221.

It is a happy number.

122343020555049 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 30 + 20 + 5 + 550 + 49 = 666.

It is not a de Polignac number, because 122343020555049 - 21 = 122343020555047 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122343020554995 and 122343020555013.

It is not an unprimeable number, because it can be changed into a prime (122343020555047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277499424 + ... + 277939950.

It is an arithmetic number, because the mean of its divisors is an integer number (2212860249600).

Almost surely, 2122343020555049 is an apocalyptic number.

It is an amenable number.

122343020555049 is a deficient number, since it is larger than the sum of its proper divisors (90091563406551).

122343020555049 is a wasteful number, since it uses less digits than its factorization.

122343020555049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442099 (or 442096 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 122343020555049 in words is "one hundred twenty-two trillion, three hundred forty-three billion, twenty million, five hundred fifty-five thousand, forty-nine".

Divisors: 1 3 7 9 21 23 63 69 137 161 207 411 483 959 1233 1399 1449 2877 3151 4197 8631 9453 9793 12591 22057 28359 29379 32177 66171 88137 96531 191663 198513 225239 289593 440527 574989 675717 1321581 1341641 1724967 2027151 3083689 3964743 4024923 4408249 9251067 10132121 12074769 13224747 27753201 30396363 30857743 39674241 60352199 70924847 91189089 92573229 181056597 212774541 277719687 422465393 543169791 616297273 638323623 1267396179 1388100577 1848891819 3802188537 4164301731 4314080911 5546675457 9716704039 12492905193 12942242733 14174837279 29150112117 38826728199 42524511837 84432726401 87450336351 99223860953 127573535511 253298179203 297671582859 591029084807 759894537609 893014748577 1773087254421 1941952707223 5319261763263 5825858121669 13593668950561 17477574365007 40781006851683 122343020555049