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123013201554243 = 337211131562941603
BaseRepresentation
bin11011111110000100111110…
…001011100110101101000011
3121010112221120112002202022000
4123332010332023212231003
5112110422014044213433
61113343252403315043
734624260544615500
oct3376047613465503
9533487515082260
10123013201554243
1136217673369aa0
121196894837ba83
13538413100b120
142253c2939a4a7
15e34cc7d61113
hex6fe13e2e6b43

123013201554243 has 192 divisors, whose sum is σ = 249079619980800. Its totient is φ = 58982157400320.

The previous prime is 123013201554239. The next prime is 123013201554247. The reversal of 123013201554243 is 342455102310321.

123013201554243 is a `hidden beast` number, since 1 + 2 + 30 + 1 + 32 + 0 + 1 + 554 + 2 + 43 = 666.

It is an interprime number because it is at equal distance from previous prime (123013201554239) and next prime (123013201554247).

It is not a de Polignac number, because 123013201554243 - 22 = 123013201554239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123013201554198 and 123013201554207.

It is not an unprimeable number, because it can be changed into a prime (123013201554247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2956814080 + ... + 2956855682.

It is an arithmetic number, because the mean of its divisors is an integer number (1297289687400).

Almost surely, 2123013201554243 is an apocalyptic number.

123013201554243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123013201554243 is an abundant number, since it is smaller than the sum of its proper divisors (126066418426557).

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

123013201554243 is a wasteful number, since it uses less digits than its factorization.

123013201554243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57279 (or 57266 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 123013201554243 its reverse (342455102310321), we get a palindrome (465468303864564).

The spelling of 123013201554243 in words is "one hundred twenty-three trillion, thirteen billion, two hundred one million, five hundred fifty-four thousand, two hundred forty-three".