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20131212123 = 341153426301
BaseRepresentation
bin10010101111111010…
…011110101101011011
31220221222102112110000
4102233322132231123
5312212042241443
613125333424043
71311604323351
oct225772365533
956858375400
1020131212123
1185a05a96a0
123a99a9b023
131b8a929049
14d8d8bd7d1
157cc5388d3
hex4afe9eb5b

20131212123 has 40 divisors (see below), whose sum is σ = 33425487216. Its totient is φ = 11970504000.

The previous prime is 20131212103. The next prime is 20131212163. The reversal of 20131212123 is 32121213102.

It is not a de Polignac number, because 20131212123 - 217 = 20131081051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20131212096 and 20131212105.

It is not an unprimeable number, because it can be changed into a prime (20131212103) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 165928 + ... + 260373.

Almost surely, 220131212123 is an apocalyptic number.

20131212123 is a deficient number, since it is larger than the sum of its proper divisors (13294275093).

20131212123 is a wasteful number, since it uses less digits than its factorization.

20131212123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426377 (or 426368 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20131212123 its reverse (32121213102), we get a palindrome (52252425225).

The spelling of 20131212123 in words is "twenty billion, one hundred thirty-one million, two hundred twelve thousand, one hundred twenty-three".

Divisors: 1 3 9 11 27 33 53 81 99 159 297 477 583 891 1431 1749 4293 5247 15741 47223 426301 1278903 3836709 4689311 11510127 14067933 22593953 34530381 42203799 67781859 126611397 203345577 248533483 379834191 610036731 745600449 1830110193 2236801347 6710404041 20131212123