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13104412124104 = 2374361181492893
BaseRepresentation
bin1011111010110001101111…
…0101000110001111001000
31201101202210000022222222001
42332230123311012033020
53204200314000432404
643512030034440344
72521522356122440
oct276543365061710
951352700288861
1013104412124104
1141a2606015a54
1215778811330b4
137409825b4482
14334385039120
1517ad20e027a4
hexbeb1bd463c8

13104412124104 has 128 divisors (see below), whose sum is σ = 29366387930880. Its totient is φ = 5365819468800.

The previous prime is 13104412124093. The next prime is 13104412124239. The reversal of 13104412124104 is 40142121440131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 26340282 + ... + 26833174.

It is an arithmetic number, because the mean of its divisors is an integer number (229424905710).

Almost surely, 213104412124104 is an apocalyptic number.

13104412124104 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 13104412124104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14683193965440).

13104412124104 is an abundant number, since it is smaller than the sum of its proper divisors (16261975806776).

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

13104412124104 is a wasteful number, since it uses less digits than its factorization.

13104412124104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493191 (or 493187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 13104412124104 its reverse (40142121440131), we get a palindrome (53246533564235).

The spelling of 13104412124104 in words is "thirteen trillion, one hundred four billion, four hundred twelve million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 43 56 61 86 122 172 181 244 301 344 362 427 488 602 724 854 1204 1267 1448 1708 2408 2534 2623 3416 5068 5246 7783 10136 10492 11041 15566 18361 20984 22082 31132 36722 44164 54481 62264 73444 77287 88328 108962 146888 154574 217924 309148 435848 474763 492893 618296 949526 985786 1899052 1971572 3323341 3450251 3798104 3943144 6646682 6900502 13293364 13801004 21194399 26586728 27602008 30066473 42388798 60132946 84777596 89213633 120265892 148360793 169555192 178427266 210465311 240531784 296721586 356854532 420930622 593443172 624495431 713709064 841861244 1186886344 1248990862 1292858339 1683722488 2497981724 2585716678 3836186219 4995963448 5171433356 5442031613 7672372438 9050008373 10342866712 10884063226 15344744876 18100016746 21768126452 26853303533 30689489752 36200033492 38094221291 43536252904 53706607066 72400066984 76188442582 107413214132 152376885164 214826428264 234007359359 304753770328 468014718718 936029437436 1638051515513 1872058874872 3276103031026 6552206062052 13104412124104