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13230403410 = 2357711078293
BaseRepresentation
bin11000101001001011…
…11110111101010010
31021011001100010112010
430110211332331102
5204043440402120
610024501243350
7645601400460
oct142445767522
937131303463
1013230403410
11567a2439a4
122692a03556
13132b042793
148d71c3830
155267b47e0
hex31497ef52

13230403410 has 128 divisors (see below), whose sum is σ = 37148626944. Its totient is φ = 2953278720.

The previous prime is 13230403379. The next prime is 13230403423. The reversal of 13230403410 is 1430403231.

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

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1591224 + ... + 1599516.

It is an arithmetic number, because the mean of its divisors is an integer number (290223648).

Almost surely, 213230403410 is an apocalyptic number.

13230403410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13230403410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574313472).

13230403410 is an abundant number, since it is smaller than the sum of its proper divisors (23918223534).

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

13230403410 is a wasteful number, since it uses less digits than its factorization.

13230403410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13230403410 its reverse (1430403231), we get a palindrome (14660806641).

The spelling of 13230403410 in words is "thirteen billion, two hundred thirty million, four hundred three thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 107 142 210 213 214 321 355 426 497 535 642 710 749 994 1065 1070 1491 1498 1605 2130 2247 2485 2982 3210 3745 4494 4970 7455 7490 7597 8293 11235 14910 15194 16586 22470 22791 24879 37985 41465 45582 49758 53179 58051 75970 82930 106358 113955 116102 124395 159537 174153 227910 248790 265895 290255 319074 348306 531790 580510 588803 797685 870765 887351 1177606 1595370 1741530 1766409 1774702 2662053 2944015 3532818 4121621 4436755 5324106 5888030 6211457 8243242 8832045 8873510 12364863 12422914 13310265 17664090 18634371 20608105 24729726 26620530 31057285 37268742 41216210 61824315 62114570 63001921 93171855 123648630 126003842 186343710 189005763 315009605 378011526 441013447 630019210 882026894 945028815 1323040341 1890057630 2205067235 2646080682 4410134470 6615201705 13230403410