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122343312042 = 23272933482023
BaseRepresentation
bin111000111110000111…
…0101100101010101010
3102200210022112012022100
41301330032230222222
54001024341441132
6132112001434230
711560531664640
oct1617416545252
9380708465270
10122343312042
1147981679146
121b86463b976
13b6c9815743
145cc864b190
1532b0a8037c
hex1c7c3acaaa

122343312042 has 48 divisors (see below), whose sum is σ = 313391744640. Its totient is φ = 33749878176.

The previous prime is 122343312041. The next prime is 122343312083. The reversal of 122343312042 is 240213343221.

122343312042 is a `hidden beast` number, since 1 + 2 + 2 + 343 + 312 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122343311997 and 122343312015.

It is not an unprimeable number, because it can be changed into a prime (122343312041) 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, 16737358 + ... + 16744665.

It is an arithmetic number, because the mean of its divisors is an integer number (6528994680).

Almost surely, 2122343312042 is an apocalyptic number.

122343312042 is an abundant number, since it is smaller than the sum of its proper divisors (191048432598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122343312042 is a wasteful number, since it uses less digits than its factorization.

122343312042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33482067 (or 33482064 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122343312042 its reverse (240213343221), we get a palindrome (362556655263).

The spelling of 122343312042 in words is "one hundred twenty-two billion, three hundred forty-three million, three hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 33482023 66964046 100446069 200892138 234374161 301338207 468748322 602676414 703122483 970978667 1406244966 1941957334 2109367449 2912936001 4218734898 5825872002 6796850669 8738808003 13593701338 17477616006 20390552007 40781104014 61171656021 122343312042