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81103517352 = 23341113875243
BaseRepresentation
bin100101110001000100…
…1010111011010101000
321202100020120120020000
41023202021113122220
52312100000023402
6101131453503000
75600551344234
oct1134211273250
9252306516200
1081103517352
1131439903aa0
12138754a1a60
137856947770
143cd55515c4
15219a2ebc1c
hex12e22576a8

81103517352 has 160 divisors (see below), whose sum is σ = 266879400480. Its totient is φ = 22686272640.

The previous prime is 81103517347. The next prime is 81103517357. The reversal of 81103517352 is 25371530118.

It is a happy number.

81103517352 is a `hidden beast` number, since 8 + 1 + 103 + 517 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (81103517347) and next prime (81103517357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81103517357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344958 + ... + 530285.

It is an arithmetic number, because the mean of its divisors is an integer number (1667996253).

Almost surely, 281103517352 is an apocalyptic number.

It is an amenable number.

81103517352 is an abundant number, since it is smaller than the sum of its proper divisors (185775883128).

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

81103517352 is a wasteful number, since it uses less digits than its factorization.

81103517352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875285 (or 875272 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 81103517352 in words is "eighty-one billion, one hundred three million, five hundred seventeen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 648 702 792 858 891 936 1053 1144 1188 1287 1404 1716 1782 2106 2376 2574 2808 3432 3564 3861 4212 5148 7128 7722 8424 10296 11583 15444 23166 30888 46332 92664 875243 1750486 2625729 3500972 5251458 7001944 7877187 9627673 10502916 11378159 15754374 19255346 21005832 22756318 23631561 28883019 31508748 34134477 38510692 45512636 47263122 57766038 63017496 68268954 70894683 77021384 86649057 91025272 94526244 102403431 115532076 125159749 136537908 141789366 173298114 189052488 204806862 231064152 250319498 259947171 273075816 283578732 307210293 346596228 375479247 409613724 500638996 519894342 567157464 614420586 693192456 750958494 779841513 819227448 921630879 1001277992 1039788684 1126437741 1228841172 1501916988 1559683026 1843261758 2079577368 2252875482 2457682344 3003833976 3119366052 3379313223 3686523516 4505750964 6238732104 6758626446 7373047032 9011501928 10137939669 13517252892 20275879338 27034505784 40551758676 81103517352