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122321011113 = 33723163172633
BaseRepresentation
bin111000111101011100…
…1101000000110101001
3102200201202120012012000
41301322321220012221
54001003134323423
6132105443441213
711560141303440
oct1617271500651
9380652505160
10122321011113
1147970027124
121b859086209
13b6c5007c22
145cc56c3d57
1532adb27843
hex1c7ae681a9

122321011113 has 64 divisors (see below), whose sum is σ = 217435975680. Its totient is φ = 66448128384.

The previous prime is 122321011103. The next prime is 122321011133. The reversal of 122321011113 is 311110123221.

It is not a de Polignac number, because 122321011113 - 217 = 122320880041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122321011103) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 622245 + ... + 794877.

It is an arithmetic number, because the mean of its divisors is an integer number (3397437120).

Almost surely, 2122321011113 is an apocalyptic number.

It is an amenable number.

122321011113 is a deficient number, since it is larger than the sum of its proper divisors (95114964567).

122321011113 is a wasteful number, since it uses less digits than its factorization.

122321011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172835 (or 172829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122321011113 its reverse (311110123221), we get a palindrome (433431134334).

The spelling of 122321011113 in words is "one hundred twenty-two billion, three hundred twenty-one million, eleven thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 23 27 63 69 161 163 189 207 483 489 621 1141 1449 1467 3423 3749 4347 4401 10269 11247 26243 30807 33741 78729 101223 172633 236187 517899 708561 1208431 1553697 3625293 3970559 4661091 10875879 11911677 27793913 28139179 32627637 35735031 83381739 84417537 107205093 196974253 250145217 253252611 590922759 647201117 750435651 759757833 1772768277 1941603351 4530407819 5318304831 5824810053 13591223457 17474430159 40773670371 122321011113