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122321100304 = 241329181199563
BaseRepresentation
bin111000111101011100…
…1111101111000010000
3102200201202201201112101
41301322321331320100
54001003200202204
6132105445410144
711560142124454
oct1617271757020
9380652651471
10122321100304
1147970088137
121b859109954
13b6c50396c0
145cc5708664
1532adb43ea4
hex1c7ae7de10

122321100304 has 160 divisors (see below), whose sum is σ = 267295392000. Its totient is φ = 53839779840.

The previous prime is 122321100299. The next prime is 122321100403. The reversal of 122321100304 is 403001123221.

It is a happy number.

122321100304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217266327 + ... + 217266889.

It is an arithmetic number, because the mean of its divisors is an integer number (1670596200).

Almost surely, 2122321100304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122321100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133647696000).

122321100304 is an abundant number, since it is smaller than the sum of its proper divisors (144974291696).

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

122321100304 is a wasteful number, since it uses less digits than its factorization.

122321100304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122321100304 its reverse (403001123221), we get a palindrome (525322223525).

The spelling of 122321100304 in words is "one hundred twenty-two billion, three hundred twenty-one million, one hundred thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 181 199 208 232 362 377 398 464 563 724 754 796 1126 1448 1508 1592 2252 2353 2587 2896 3016 3184 4504 4706 5174 5249 5771 6032 7319 9008 9412 10348 10498 11542 14638 16327 18824 20696 20996 23084 29276 32654 36019 37648 41392 41992 46168 58552 65308 68237 72038 75023 83984 92336 101903 112037 117104 130616 136474 144076 150046 203806 212251 224074 261232 272948 288152 300092 407612 424502 448148 468247 545896 576304 600184 815224 849004 896296 936494 1044551 1091792 1200368 1324739 1456481 1630448 1698008 1792592 1872988 2089102 2649478 2912962 2955187 3249073 3396016 3745976 4178204 5298956 5825924 5910374 6498146 7491952 8356408 10597912 11651848 11820748 12996292 13579163 16712816 20278697 21195824 23303696 23641496 25992584 27158326 38417431 40557394 42237949 47282992 51985168 54316652 76834862 81114788 84475898 108633304 153669724 162229576 168951796 217266608 263623061 307339448 324459152 337903592 527246122 588082213 614678896 675807184 1054492244 1176164426 2108984488 2352328852 4217968976 4704657704 7645068769 9409315408 15290137538 30580275076 61160550152 122321100304