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122424403101 = 371113263155009
BaseRepresentation
bin111001000000100010…
…0000010010010011101
3102200222222010001022220
41302001010002102131
54001211121344401
6132124015455553
711562535154010
oct1620104022235
9380888101286
10122424403101
1147a13425050
121b8878275b9
13b710568610
145cd5319377
1532b7c4c336
hex1c8110249d

122424403101 has 64 divisors (see below), whose sum is σ = 220000112640. Its totient is φ = 58481418240.

The previous prime is 122424403069. The next prime is 122424403111. The reversal of 122424403101 is 101304424221.

It is not a de Polignac number, because 122424403101 - 25 = 122424403069 is a prime.

It is a super-2 number, since 2×1224244031012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122424403111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712285 + ... + 867293.

It is an arithmetic number, because the mean of its divisors is an integer number (3437501760).

Almost surely, 2122424403101 is an apocalyptic number.

122424403101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122424403101 is a deficient number, since it is larger than the sum of its proper divisors (97575709539).

122424403101 is a wasteful number, since it uses less digits than its factorization.

122424403101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155306.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122424403101 its reverse (101304424221), we get a palindrome (223728827322).

It can be divided in two parts, 122424 and 403101, that added together give a palindrome (525525).

The spelling of 122424403101 in words is "one hundred twenty-two billion, four hundred twenty-four million, four hundred three thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 263 273 429 789 1001 1841 2893 3003 3419 5523 8679 10257 20251 23933 37609 60753 71799 112827 155009 263263 465027 789789 1085063 1705099 2015117 3255189 5115297 6045351 11935693 14105819 22166287 35807079 40767367 42317457 66498861 122302101 155164009 285371569 448441037 465492027 529975771 856114707 1345323111 1589927313 3139087259 3709830397 5829733481 9417261777 11129491191 17489200443 40808134367 122424403101