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124322011120242 = 232132918320367097
BaseRepresentation
bin11100010001000111111001…
…010011111000001001110010
3121022012001211201012112012100
4130101013321103320021302
5112243342434321321432
61120224424330441230
735120653221435105
oct3421077123701162
9538161751175170
10124322011120242
113668173a233541
1211b3a531b93216
13544a69129a6c0
14229b30894873c
15e58d7a39807c
hex7111f94f8272

124322011120242 has 48 divisors (see below), whose sum is σ = 300087613065240. Its totient is φ = 36933860065536.

The previous prime is 124322011120231. The next prime is 124322011120261. The reversal of 124322011120242 is 242021110223421.

124322011120242 is a `hidden beast` number, since 1 + 2 + 432 + 20 + 1 + 1 + 1 + 202 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107776974901761 + 16545036218481 = 10381569^2 + 4067559^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9160176763 + ... + 9160190334.

Almost surely, 2124322011120242 is an apocalyptic number.

124322011120242 is an abundant number, since it is smaller than the sum of its proper divisors (175765601944998).

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

124322011120242 is a wasteful number, since it uses less digits than its factorization.

124322011120242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320367147 (or 18320367144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 124322011120242 its reverse (242021110223421), we get a palindrome (366343121343663).

The spelling of 124322011120242 in words is "one hundred twenty-four trillion, three hundred twenty-two billion, eleven million, one hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 18320367097 36640734194 54961101291 109922202582 164883303873 238164772261 329766607746 476329544522 531290645813 714494316783 1062581291626 1428988633566 1593871937439 2143482950349 3187743874878 4286965900698 4781615812317 6906778395569 9563231624634 13813556791138 20720335186707 41440670373414 62161005560121 124322011120242