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17103116712 = 23311252311261
BaseRepresentation
bin11111110110110110…
…01101100110101000
31122010221112100110010
433323123031212220
5240011344213322
611505043051520
71143555044013
oct177333154650
948127470403
1017103116712
117287299800
123393970ba0
1317c7488706
14b8368237a
156a179520c
hex3fb6cd9a8

17103116712 has 96 divisors (see below), whose sum is σ = 47092278240. Its totient is φ = 5172393600.

The previous prime is 17103116699. The next prime is 17103116729. The reversal of 17103116712 is 21761130171.

It is a self number, because there is not a number n which added to its sum of digits gives 17103116712.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1513162 + ... + 1524422.

It is an arithmetic number, because the mean of its divisors is an integer number (490544565).

Almost surely, 217103116712 is an apocalyptic number.

17103116712 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 17103116712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23546139120).

17103116712 is an abundant number, since it is smaller than the sum of its proper divisors (29989161528).

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

17103116712 is a wasteful number, since it uses less digits than its factorization.

17103116712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

Adding to 17103116712 its reverse (21761130171), we get a palindrome (38864246883).

The spelling of 17103116712 in words is "seventeen billion, one hundred three million, one hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 523 726 968 1046 1452 1569 2092 2904 3138 4184 5753 6276 11261 11506 12552 17259 22522 23012 33783 34518 45044 46024 63283 67566 69036 90088 123871 126566 135132 138072 189849 247742 253132 270264 371613 379698 495484 506264 743226 759396 990968 1362581 1486452 1518792 2725162 2972904 4087743 5450324 5889503 8175486 10900648 11779006 16350972 17668509 23558012 32701944 35337018 47116024 64784533 70674036 129569066 141348072 194353599 259138132 388707198 518276264 712629863 777414396 1425259726 1554828792 2137889589 2850519452 4275779178 5701038904 8551558356 17103116712