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12310113144 = 2337316735279
BaseRepresentation
bin10110111011011110…
…10110101101111000
31011202220122112121110
423131233112231320
5200202342110034
65353304240320
7614025143460
oct133557265570
934686575543
1012310113144
11524781322a
1224767700a0
131212493824
1484aca4ba0
154c0acade9
hex2ddbd6b78

12310113144 has 128 divisors (see below), whose sum is σ = 36849254400. Its totient is φ = 3352821120.

The previous prime is 12310113133. The next prime is 12310113181. The reversal of 12310113144 is 44131101321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12310113144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331297 + ... + 366575.

It is an arithmetic number, because the mean of its divisors is an integer number (287884800).

Almost surely, 212310113144 is an apocalyptic number.

12310113144 is a gapful number since it is divisible by the number (14) 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 12310113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424627200).

12310113144 is an abundant number, since it is smaller than the sum of its proper divisors (24539141256).

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

12310113144 is a wasteful number, since it uses less digits than its factorization.

12310113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35393 (or 35389 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12310113144 its reverse (44131101321), we get a palindrome (56441214465).

The spelling of 12310113144 in words is "twelve billion, three hundred ten million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 67 84 93 124 134 168 186 201 217 248 268 372 402 434 469 536 651 744 804 868 938 1302 1407 1608 1736 1876 2077 2604 2814 3752 4154 5208 5628 6231 8308 11256 12462 14539 16616 24924 29078 35279 43617 49848 58156 70558 87234 105837 116312 141116 174468 211674 246953 282232 348936 423348 493906 740859 846696 987812 1093649 1481718 1975624 2187298 2363693 2963436 3280947 4374596 4727386 5926872 6561894 7091079 7655543 8749192 9454772 13123788 14182158 15311086 16545851 18909544 22966629 26247576 28364316 30622172 33091702 45933258 49637553 56728632 61244344 66183404 73274483 91866516 99275106 132366808 146548966 183733032 198550212 219823449 293097932 397100424 439646898 512921381 586195864 879293796 1025842762 1538764143 1758587592 2051685524 3077528286 4103371048 6155056572 12310113144