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13111212312 = 2333116782361
BaseRepresentation
bin11000011010111110…
…10011100100011000
31020211202001121002000
430031133103210120
5203322432243222
610005002441000
7642623315532
oct141537234430
936752047060
1013111212312
115618a34960
12265ab03160
13130c43cac3
148c5438852
1551b0bd9ac
hex30d7d3918

13111212312 has 128 divisors (see below), whose sum is σ = 40324435200. Its totient is φ = 3913747200.

The previous prime is 13111212299. The next prime is 13111212343. The reversal of 13111212312 is 21321211131.

13111212312 is a `hidden beast` number, since 1 + 311 + 121 + 231 + 2 = 666.

13111212312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118012 + ... + 200372.

It is an arithmetic number, because the mean of its divisors is an integer number (315034650).

Almost surely, 213111212312 is an apocalyptic number.

13111212312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162217600).

13111212312 is an abundant number, since it is smaller than the sum of its proper divisors (27213222888).

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

13111212312 is a wasteful number, since it uses less digits than its factorization.

13111212312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82454 (or 82444 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 13111212312 its reverse (21321211131), we get a palindrome (34432423443).

The spelling of 13111212312 in words is "thirteen billion, one hundred eleven million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 67 72 88 99 108 132 134 198 201 216 264 268 297 396 402 536 594 603 737 792 804 1188 1206 1474 1608 1809 2211 2376 2412 2948 3618 4422 4824 5896 6633 7236 8844 13266 14472 17688 19899 26532 39798 53064 79596 82361 159192 164722 247083 329444 494166 658888 741249 905971 988332 1482498 1811942 1976664 2223747 2717913 2964996 3623884 4447494 5435826 5518187 5929992 7247768 8153739 8894988 10871652 11036374 16307478 16554561 17789976 21743304 22072748 24461217 32614956 33109122 44145496 48922434 49663683 60700057 65229912 66218244 97844868 99327366 121400114 132436488 148991049 182100171 195689736 198654732 242800228 297982098 364200342 397309464 485600456 546300513 595964196 728400684 1092601026 1191928392 1456801368 1638901539 2185202052 3277803078 4370404104 6555606156 13111212312