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123013103140341 = 32101751180196999
BaseRepresentation
bin11011111110000100111000…
…010100001011110111110101
3121010112221022122220210210200
4123332010320110023313311
5112110421313400442331
61113343234530111113
734624255241250501
oct3376047024136765
9533487278823720
10123013103140341
1136217622861197
121196891b41b499
13538411680154b
142253c1a29d301
15e34cbe3c15e6
hex6fe13850bdf5

123013103140341 has 24 divisors (see below), whose sum is σ = 179683798944000. Its totient is φ = 81088649100000.

The previous prime is 123013103140313. The next prime is 123013103140357. The reversal of 123013103140341 is 143041301310321.

123013103140341 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 3 + 1 + 0 + 314 + 0 + 341 = 666.

It is not a de Polignac number, because 123013103140341 - 246 = 52644358962677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013103140141) 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, 89415841 + ... + 90781158.

It is an arithmetic number, because the mean of its divisors is an integer number (7486824956000).

Almost surely, 2123013103140341 is an apocalyptic number.

It is an amenable number.

123013103140341 is a deficient number, since it is larger than the sum of its proper divisors (56670695803659).

123013103140341 is a wasteful number, since it uses less digits than its factorization.

123013103140341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180197857 (or 180197854 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123013103140341 its reverse (143041301310321), we get a palindrome (266054404450662).

The spelling of 123013103140341 in words is "one hundred twenty-three trillion, thirteen billion, one hundred three million, one hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 101 303 751 909 2253 6759 75851 227553 682659 180196999 540590997 1621772991 18199896899 54599690697 135327946249 163799072091 405983838747 1217951516241 13668122571149 41004367713447 123013103140341