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13130243412 = 22311132619649
BaseRepresentation
bin11000011101001111…
…11001110101010100
31020220001212110211120
430032213321311110
5203342320242122
610010522403540
7643244141016
oct141647716524
936801773746
1013130243412
115628753240
1226653605b0
131313374200
148c7b901b6
1551cacc75c
hex30e9f9d54

13130243412 has 144 divisors (see below), whose sum is σ = 36788270400. Its totient is φ = 3612211200.

The previous prime is 13130243389. The next prime is 13130243419. The reversal of 13130243412 is 21434203131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130243419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355964 + ... + 1365612.

It is an arithmetic number, because the mean of its divisors is an integer number (255474100).

Almost surely, 213130243412 is an apocalyptic number.

13130243412 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 13130243412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394135200).

13130243412 is an abundant number, since it is smaller than the sum of its proper divisors (23658026988).

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

13130243412 is a wasteful number, since it uses less digits than its factorization.

13130243412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13130243412 its reverse (21434203131), we get a palindrome (34564446543).

The spelling of 13130243412 in words is "thirteen billion, one hundred thirty million, two hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 169 183 244 286 338 366 429 507 572 671 676 732 793 858 1014 1342 1586 1716 1859 2013 2028 2379 2684 3172 3718 4026 4758 5577 7436 8052 8723 9516 9649 10309 11154 17446 19298 20618 22308 26169 28947 30927 34892 38596 41236 52338 57894 61854 104676 106139 113399 115788 123708 125437 212278 226798 250874 318417 340197 376311 424556 453596 501748 588589 636834 680394 752622 1177178 1273668 1360788 1379807 1505244 1630681 1765767 2354356 2759614 3261362 3531534 4139421 4892043 5519228 6474479 6522724 7063068 7651657 8278842 9784086 12948958 15303314 16557684 17937491 19423437 19568172 22954971 25897916 30606628 35874982 38846874 45909942 53812473 71749964 77693748 84168227 91819884 99471541 107624946 168336454 198943082 215249892 252504681 298414623 336672908 397886164 505009362 596829246 1010018724 1094186951 1193658492 2188373902 3282560853 4376747804 6565121706 13130243412