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122313323331 = 32122914517621
BaseRepresentation
bin111000111101001110…
…0010011001101000011
3102200201020002121112100
41301322130103031003
54000444202321311
6132105011001443
711560016044203
oct1617234231503
9380636077470
10122313323331
1147966756191
121b856599283
13b6c3545944
145cc4682403
1532ad109a56
hex1c7a713343

122313323331 has 24 divisors (see below), whose sum is σ = 176963632560. Its totient is φ = 81409032000.

The previous prime is 122313323323. The next prime is 122313323333. The reversal of 122313323331 is 133323313221.

122313323331 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 3 + 323 + 331 = 666.

It is not a de Polignac number, because 122313323331 - 23 = 122313323323 is a prime.

It is a super-2 number, since 2×1223133233312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122313323295 and 122313323304.

It is not an unprimeable number, because it can be changed into a prime (122313323333) 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 23 ways as a sum of consecutive naturals, for example, 16045701 + ... + 16053321.

It is an arithmetic number, because the mean of its divisors is an integer number (7373484690).

Almost surely, 2122313323331 is an apocalyptic number.

122313323331 is a deficient number, since it is larger than the sum of its proper divisors (54650309229).

122313323331 is a wasteful number, since it uses less digits than its factorization.

122313323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10304 counting only the distinct ones).

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

Adding to 122313323331 its reverse (133323313221), we get a palindrome (255636636552).

The spelling of 122313323331 in words is "one hundred twenty-two billion, three hundred thirteen million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 1229 1451 3687 4353 7621 11061 13059 22863 68589 1783279 5349837 9366209 11058071 16049511 28098627 33174213 84295881 99522639 13590369259 40771107777 122313323331