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122323313331 = 3243316080913
BaseRepresentation
bin111000111101100001…
…0011010001010110011
3102200201220220011020100
41301323002122022303
54001004232011311
6132110005043443
711560200002442
oct1617302321263
9380656804210
10122323313331
114797135988a
121b8599b6583
13b6c5632a9b
145cc5b22d59
1532ade2ea56
hex1c7b09a2b3

122323313331 has 12 divisors (see below), whose sum is σ = 180798282808. Its totient is φ = 79652389824.

The previous prime is 122323313267. The next prime is 122323313341. The reversal of 122323313331 is 133313323221.

122323313331 is a `hidden beast` number, since 1 + 2 + 2 + 323 + 3 + 1 + 3 + 331 = 666.

It is not a de Polignac number, because 122323313331 - 26 = 122323313267 is a prime.

It is a super-2 number, since 2×1223233133312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122323313295 and 122323313304.

It is not an unprimeable number, because it can be changed into a prime (122323313341) 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 11 ways as a sum of consecutive naturals, for example, 158040070 + ... + 158040843.

Almost surely, 2122323313331 is an apocalyptic number.

122323313331 is a deficient number, since it is larger than the sum of its proper divisors (58474969477).

122323313331 is a wasteful number, since it uses less digits than its factorization.

122323313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316080962 (or 316080959 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 122323313331 its reverse (133313323221), we get a palindrome (255636636552).

The spelling of 122323313331 in words is "one hundred twenty-two billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 9 43 129 387 316080913 948242739 2844728217 13591479259 40774437777 122323313331