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122343014341431 = 32132234689088741
BaseRepresentation
bin11011110100010100110011…
…111010010001101100110111
3121001011212201000121212020100
4123310110303322101230313
5112013431443132411211
61112111334353405143
734524663642402042
oct3364246372215467
9531155630555210
10122343014341431
1135a894211356a4
121187aa8bb697b3
135335b87208380
14222d60d6c9c59
15e22651252156
hex6f4533e91b37

122343014341431 has 24 divisors (see below), whose sum is σ = 191164769833856. Its totient is φ = 74950394420160.

The previous prime is 122343014341417. The next prime is 122343014341433. The reversal of 122343014341431 is 134143410343221.

122343014341431 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 301 + 4 + 341 + 4 + 3 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-122343014341431 is a prime.

It is a super-3 number, since 3×1223430143414313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122343014341433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2344518280 + ... + 2344570461.

Almost surely, 2122343014341431 is an apocalyptic number.

122343014341431 is a deficient number, since it is larger than the sum of its proper divisors (68821755492425).

122343014341431 is a wasteful number, since it uses less digits than its factorization.

122343014341431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689088983 (or 4689088980 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 122343014341431 its reverse (134143410343221), we get a palindrome (256486424684652).

The spelling of 122343014341431 in words is "one hundred twenty-two trillion, three hundred forty-three billion, fourteen million, three hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 223 669 2007 2899 8697 26091 4689088741 14067266223 42201798669 60958153633 182874460899 548623382697 1045666789243 3137000367729 9411001103187 13593668260159 40781004780477 122343014341431