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13043342312 = 23711138918301
BaseRepresentation
bin11000010010111000…
…11001101111101000
31020200000100102221022
430021130121233220
5203203043423222
65554140032012
7641140403030
oct141134315750
936600312838
1013043342312
115593699150
122640232608
1312cb368940
148ba40c8c0
15515164042
hex309719be8

13043342312 has 128 divisors (see below), whose sum is σ = 33207148800. Its totient is φ = 4637952000.

The previous prime is 13043342311. The next prime is 13043342329. The reversal of 13043342312 is 21324334031.

13043342312 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 (26).

It is not an unprimeable number, because it can be changed into a prime (13043342311) by changing a digit.

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, 703562 + ... + 721862.

It is an arithmetic number, because the mean of its divisors is an integer number (259430850).

Almost surely, 213043342312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13043342312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603574400).

13043342312 is an abundant number, since it is smaller than the sum of its proper divisors (20163806488).

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

13043342312 is a wasteful number, since it uses less digits than its factorization.

13043342312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18427 (or 18423 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 13043342312 its reverse (21324334031), we get a palindrome (34367676343).

The spelling of 13043342312 in words is "thirteen billion, forty-three million, three hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 89 91 104 143 154 178 182 286 308 356 364 572 616 623 712 728 979 1001 1144 1157 1246 1958 2002 2314 2492 3916 4004 4628 4984 6853 7832 8008 8099 9256 12727 13706 16198 18301 25454 27412 32396 36602 50908 54824 64792 73204 89089 101816 128107 146408 178178 201311 237913 256214 356356 402622 475826 512428 712712 805244 951652 1024856 1409177 1610488 1628789 1665391 1903304 2617043 2818354 3257578 3330782 5234086 5636708 6515156 6661564 10468172 11273416 11401523 13030312 13323128 17916679 18319301 20936344 21174257 22803046 35833358 36638602 42348514 45606092 71666716 73277204 84697028 91212184 125416753 143333432 146554408 148219799 169394056 232916827 250833506 296439598 465833654 501667012 592879196 931667308 1003334024 1185758392 1630417789 1863334616 3260835578 6521671156 13043342312