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12312011331 = 323739793131
BaseRepresentation
bin10110111011101101…
…00110001001000011
31011210001012222102200
423131312212021003
5200203333330311
65353413044243
7614050240524
oct133566461103
934701188380
1012312011331
11524889a384
122477326683
1312129a9809
1484b23a84b
154c0d53556
hex2ddda6243

12312011331 has 24 divisors (see below), whose sum is σ = 18310868784. Its totient is φ = 7965967680.

The previous prime is 12312011329. The next prime is 12312011333. The reversal of 12312011331 is 13311021321.

12312011331 is a `hidden beast` number, since 12 + 312 + 0 + 11 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (12312011329) and next prime (12312011333).

It is not a de Polignac number, because 12312011331 - 21 = 12312011329 is a prime.

It is a super-3 number, since 3×123120113313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (12312011333) 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, 85636 + ... + 178766.

It is an arithmetic number, because the mean of its divisors is an integer number (762952866).

Almost surely, 212312011331 is an apocalyptic number.

12312011331 is a deficient number, since it is larger than the sum of its proper divisors (5998857453).

12312011331 is a wasteful number, since it uses less digits than its factorization.

12312011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93571 (or 93568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12312011331 its reverse (13311021321), we get a palindrome (25623032652).

The spelling of 12312011331 in words is "twelve billion, three hundred twelve million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 37 111 333 397 1191 3573 14689 44067 93131 132201 279393 838179 3445847 10337541 31012623 36973007 110919021 332757063 1368001259 4104003777 12312011331