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123220220313321 = 327112740112373061
BaseRepresentation
bin11100000001000101110001…
…011101011111111011101001
3121011021201221000102100012100
4130001011301131133323221
5112122320002400011241
61114022330542004013
734645236633212115
oct3401056135377351
9534251830370170
10123220220313321
113629744702782a
12119a0aa2576609
13539a8034a0881
14225dc676bc745
15e3a3925a79b6
hex70117175fee9

123220220313321 has 96 divisors (see below), whose sum is σ = 182573483728896. Its totient is φ = 80060762880000.

The previous prime is 123220220313287. The next prime is 123220220313341. The reversal of 123220220313321 is 123313022022321.

123220220313321 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 2 + 0 + 2 + 20 + 313 + 321 = 666.

It is not a de Polignac number, because 123220220313321 - 231 = 123218072829673 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123220220313341) 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, 40254889131 + ... + 40254892191.

It is an arithmetic number, because the mean of its divisors is an integer number (1901807122176).

Almost surely, 2123220220313321 is an apocalyptic number.

It is an amenable number.

123220220313321 is a deficient number, since it is larger than the sum of its proper divisors (59353263415575).

123220220313321 is a wasteful number, since it uses less digits than its factorization.

123220220313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123220220313321 its reverse (123313022022321), we get a palindrome (246533242335642).

The spelling of 123220220313321 in words is "one hundred twenty-three trillion, two hundred twenty billion, two hundred twenty million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 71 127 213 381 401 639 1143 1203 1237 3061 3609 3711 9017 9183 11133 27051 27549 28471 50927 81153 85413 87827 152781 157099 217331 256239 263481 388747 458343 471297 496037 651993 790443 1166241 1227461 1413891 1488111 1955979 3498723 3615817 3682383 3786457 4464333 10847451 11047149 11154029 11359371 27601037 32542353 33462087 34078113 35218627 62996699 82803111 87149731 100386261 105655881 155887547 188990097 248409333 261449193 268838447 316967643 467662641 480880039 566970291 784347579 806515341 1402987923 1442640117 1518369257 2419546023 4327920351 4472765629 4555107771 11068015837 13418296887 13665323313 33204047511 34142482769 40254890661 99612142533 102427448307 107804217247 192832895639 307282344921 323412651741 578498686917 970237955223 1735496060751 13691135590369 41073406771107 123220220313321