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104111020134 = 232112417315971
BaseRepresentation
bin110000011110110000…
…0000001100001100110
3100221201200020210200200
41200331200001201212
53201204410121014
6115454500251330
710343653032642
oct1407540014146
9327650223620
10104111020134
1140175a58400
12182166a0b46
139a82432934
145079033c22
152a950dea09
hex183d801866

104111020134 has 144 divisors (see below), whose sum is σ = 257487742512. Its totient is φ = 30355776000.

The previous prime is 104111020019. The next prime is 104111020177. The reversal of 104111020134 is 431020111401.

104111020134 is a `hidden beast` number, since 10 + 411 + 10 + 201 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6510769 + ... + 6526739.

It is an arithmetic number, because the mean of its divisors is an integer number (1788109323).

Almost surely, 2104111020134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104111020134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128743871256).

104111020134 is an abundant number, since it is smaller than the sum of its proper divisors (153376722378).

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

104111020134 is a wasteful number, since it uses less digits than its factorization.

104111020134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16115 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104111020134 its reverse (431020111401), we get a palindrome (535131131535).

The spelling of 104111020134 in words is "one hundred four billion, one hundred eleven million, twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 73 82 99 121 123 146 198 219 242 246 363 369 438 451 657 726 738 803 902 1089 1314 1353 1606 2178 2409 2706 2993 4059 4818 4961 5986 7227 8118 8833 8979 9922 14454 14883 15971 17666 17958 26499 26937 29766 31942 32923 44649 47913 52998 53874 65846 79497 89298 95826 98769 143739 158994 175681 197538 287478 296307 351362 362153 527043 592614 654811 724306 1054086 1086459 1165883 1309622 1581129 1932491 1964433 2172918 2331766 3162258 3259377 3497649 3864982 3928866 5797473 5893299 6518754 6995298 7202921 10492947 11594946 11786598 12824713 14405842 17392419 20985894 21608763 25649426 34784838 38474139 43217526 47801203 64826289 76948278 79232131 95602406 115422417 129652578 141071843 143403609 158464262 230844834 237696393 282143686 286807218 423215529 430210827 475392786 525813233 713089179 846431058 860421654 1051626466 1269646587 1426178358 1577439699 2539293174 3154879398 4732319097 5783945563 9464638194 11567891126 17351836689 34703673378 52055510067 104111020134