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13034124203112 = 23332917871164409
BaseRepresentation
bin1011110110101011111001…
…0101111101010001101000
31201011001100112012122202000
42331222332111331101220
53202022341243444422
643415443300411000
72513453514502125
oct275527625752150
951131315178660
1013034124203112
11417581734a651
1215661259a6a60
1373716060ac8c
14330bd80b574c
151790aa3bbcac
hexbdabe57d468

13034124203112 has 128 divisors (see below), whose sum is σ = 37475371440000. Its totient is φ = 4192539499008.

The previous prime is 13034124203039. The next prime is 13034124203143. The reversal of 13034124203112 is 21130242143031.

13034124203112 is a `hidden beast` number, since 1 + 3 + 0 + 341 + 2 + 4 + 2 + 0 + 311 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 10611564 + ... + 11775972.

It is an arithmetic number, because the mean of its divisors is an integer number (292776339375).

Almost surely, 213034124203112 is an apocalyptic number.

13034124203112 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 13034124203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737685720000).

13034124203112 is an abundant number, since it is smaller than the sum of its proper divisors (24441247236888).

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

13034124203112 is a wasteful number, since it uses less digits than its factorization.

13034124203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166240 (or 1166230 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13034124203112 its reverse (21130242143031), we get a palindrome (34164366346143).

The spelling of 13034124203112 in words is "thirteen trillion, thirty-four billion, one hundred twenty-four million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 1787 2088 3132 3574 5361 6264 7148 10722 14296 16083 21444 32166 42888 48249 51823 64332 96498 103646 128664 155469 192996 207292 310938 385992 414584 466407 621876 932814 1164409 1243752 1399221 1865628 2328818 2798442 3493227 3731256 4657636 5596884 6986454 9315272 10479681 11193768 13972908 20959362 27945816 31439043 33767861 41918724 62878086 67535722 83837448 101303583 125756172 135071444 202607166 251512344 270142888 303910749 405214332 607821498 810428664 911732247 1215642996 1823464494 2080798883 2431285992 3646928988 4161597766 6242396649 7293857976 8323195532 12484793298 16646391064 18727189947 24969586596 37454379894 49939173192 56181569841 60343167607 74908759788 112363139682 120686335214 149817519576 181029502821 224726279364 241372670428 362059005642 449452558728 482745340856 543088508463 724118011284 1086177016926 1448236022568 1629265525389 2172354033852 3258531050778 4344708067704 6517062101556 13034124203112