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122114442422 = 27231434719889
BaseRepresentation
bin111000110111010010…
…1101000010010110110
3102200012100212102012202
41301232211220102312
54000042244124142
6132033144144502
711552052430400
oct1615645502266
9380170772182
10122114442422
1147874467aa5
121b7bba68132
13b691290b2b
145ca60b1b70
15329a922032
hex1c6e9684b6

122114442422 has 96 divisors (see below), whose sum is σ = 229866024960. Its totient is φ = 48413756160.

The previous prime is 122114442419. The next prime is 122114442427. The reversal of 122114442422 is 224244411221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114442427) 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 47 ways as a sum of consecutive naturals, for example, 6129854 + ... + 6149742.

It is an arithmetic number, because the mean of its divisors is an integer number (2394437760).

Almost surely, 2122114442422 is an apocalyptic number.

122114442422 is a deficient number, since it is larger than the sum of its proper divisors (107751582538).

122114442422 is a wasteful number, since it uses less digits than its factorization.

122114442422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20026 (or 20019 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

Adding to 122114442422 its reverse (224244411221), we get a palindrome (346358853643).

The spelling of 122114442422 in words is "one hundred twenty-two billion, one hundred fourteen million, four hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 7 14 31 43 47 49 62 86 94 98 217 301 329 434 602 658 1333 1457 1519 2021 2107 2303 2666 2914 3038 4042 4214 4606 9331 10199 14147 18662 19889 20398 28294 39778 62651 65317 71393 99029 125302 130634 139223 142786 198058 278446 438557 616559 855227 877114 934783 974561 1233118 1710454 1869566 1949122 3069899 4315913 5986589 6139798 6543481 8631826 11973178 13086962 26512037 28978273 30211391 40195669 41906123 45804367 53024074 57956546 60422782 80391338 83812246 91608734 185584259 202847911 281369683 371168518 405695822 562739366 1246065739 1299089813 1419935377 1969587781 2492131478 2598179626 2839870754 3939175562 8722460173 17444920346 61057221211 122114442422