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123112143011331 = 3215916185945219
BaseRepresentation
bin11011111111100001000111…
…100011010011111000000011
3121010220101221220220112122200
4123333201013203103320003
5112114032132102330311
61113500534314204243
734634362446255165
oct3377410743237003
9533811856815580
10123112143011331
1136255626226141
1211983b5b723683
13539056b4239c6
1422589339d0935
15e376691a3556
hex6ff8478d3e03

123112143011331 has 12 divisors (see below), whose sum is σ = 177829770373320. Its totient is φ = 82074245381280.

The previous prime is 123112143011267. The next prime is 123112143011369. The reversal of 123112143011331 is 133110341211321.

123112143011331 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 21 + 4 + 301 + 1 + 331 = 666.

It is not a de Polignac number, because 123112143011331 - 26 = 123112143011267 is a prime.

It is a super-3 number, since 3×1231121430113313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123112143011295 and 123112143011304.

It is not an unprimeable number, because it can be changed into a prime (123112143061331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41540161 + ... + 44405058.

It is an arithmetic number, because the mean of its divisors is an integer number (14819147531110).

Almost surely, 2123112143011331 is an apocalyptic number.

123112143011331 is a deficient number, since it is larger than the sum of its proper divisors (54717627361989).

123112143011331 is a wasteful number, since it uses less digits than its factorization.

123112143011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86104386 (or 86104383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 123112143011331 its reverse (133110341211321), we get a palindrome (256222484222652).

The spelling of 123112143011331 in words is "one hundred twenty-three trillion, one hundred twelve billion, one hundred forty-three million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 159161 477483 1432449 85945219 257835657 773506971 13679127001259 41037381003777 123112143011331