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13010043012 = 223231131572657
BaseRepresentation
bin11000001110111010…
…11000000010000100
31020120200200122212220
430013131120002010
5203121032334022
65550550212340
7640254353361
oct140735300204
936520618786
1013010043012
11557691496a
1226310540b0
1312c44aa005
148b5c21468
1551228785c
hex307758084

13010043012 has 96 divisors (see below), whose sum is σ = 32172602112. Its totient is φ = 4083695616.

The previous prime is 13010042993. The next prime is 13010043019. The reversal of 13010043012 is 21034001031.

It is a super-2 number, since 2×130100430122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13010042982 and 13010043000.

It is not an unprimeable number, because it can be changed into a prime (13010043019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4895188 + ... + 4897844.

It is an arithmetic number, because the mean of its divisors is an integer number (335131272).

Almost surely, 213010043012 is an apocalyptic number.

13010043012 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 13010043012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086301056).

13010043012 is an abundant number, since it is smaller than the sum of its proper divisors (19162559100).

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

13010043012 is a wasteful number, since it uses less digits than its factorization.

13010043012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13010043012 its reverse (21034001031), we get a palindrome (34044044043).

The spelling of 13010043012 in words is "thirteen billion, ten million, forty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 113 138 157 226 276 314 339 452 471 628 678 942 1356 1884 2599 2657 3611 5198 5314 7222 7797 7971 10396 10628 10833 14444 15594 15942 17741 21666 31188 31884 35482 43332 53223 61111 70964 106446 122222 183333 212892 244444 300241 366666 408043 417149 600482 733332 816086 834298 900723 1200964 1224129 1251447 1632172 1668596 1801446 2448258 2502894 3602892 4896516 5005788 6905543 9594427 13811086 19188854 20716629 27622172 28783281 38377708 41433258 47137837 57566562 82866516 94275674 115133124 141413511 188551348 282827022 565654044 1084170251 2168340502 3252510753 4336681004 6505021506 13010043012