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122066054322 = 231071093135573
BaseRepresentation
bin111000110101110110…
…1000010110010110010
3102200001222211001012220
41301223231002302302
53444442402214242
6132024255101510
711550624225252
oct1615355026262
9380058731186
10122066054322
114784a118333
121b7a7811896
13b68424b314
145c9d8b7962
153296564bec
hex1c6bb42cb2

122066054322 has 64 divisors (see below), whose sum is σ = 249513644160. Its totient is φ = 39803871744.

The previous prime is 122066054303. The next prime is 122066054333. The reversal of 122066054322 is 223450660221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21900328 + ... + 21905900.

It is an arithmetic number, because the mean of its divisors is an integer number (3898650690).

Almost surely, 2122066054322 is an apocalyptic number.

122066054322 is an abundant number, since it is smaller than the sum of its proper divisors (127447589838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122066054322 is a wasteful number, since it uses less digits than its factorization.

122066054322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6107.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 122066054322 in words is "one hundred twenty-two billion, sixty-six million, fifty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 107 109 214 218 313 321 327 626 642 654 939 1878 5573 11146 11663 16719 23326 33438 33491 34117 34989 66982 68234 69978 100473 102351 200946 204702 596311 607457 1192622 1214914 1744349 1788933 1822371 3488698 3577866 3644742 3650519 5233047 7301038 10466094 10951557 21903114 64997899 129995798 186645343 190134041 194993697 373290686 380268082 389987394 559936029 570402123 1119872058 1140804246 20344342387 40688684774 61033027161 122066054322