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122013242133 = 32329241253013
BaseRepresentation
bin111000110100010001…
…1100101001100010101
3102122221022102220111220
41301220203211030111
53444340342222013
6132015131120553
711546413305666
oct1615043451425
9378838386456
10122013242133
11478223267a2
121b791ba3159
13b676319bc3
145c9688b36d
153291ad1b23
hex1c688e5315

122013242133 has 32 divisors (see below), whose sum is σ = 176340637440. Its totient is φ = 74810588160.

The previous prime is 122013242119. The next prime is 122013242149. The reversal of 122013242133 is 331242310221.

It is not a de Polignac number, because 122013242133 - 222 = 122009047829 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122013242173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355735 + ... + 608747.

It is an arithmetic number, because the mean of its divisors is an integer number (5510644920).

Almost surely, 2122013242133 is an apocalyptic number.

It is an amenable number.

122013242133 is a deficient number, since it is larger than the sum of its proper divisors (54327395307).

122013242133 is a wasteful number, since it uses less digits than its factorization.

122013242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253309.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122013242133 its reverse (331242310221), we get a palindrome (453255552354).

The spelling of 122013242133 in words is "one hundred twenty-two billion, thirteen million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 23 29 69 87 241 667 723 2001 5543 6989 16629 20967 160747 253013 482241 759039 5819299 7337377 17457897 22012131 60976133 168759671 182928399 506279013 1402451059 1768307857 4207353177 5304923571 40671080711 122013242133