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102830531584 = 2101129112
BaseRepresentation
bin101111111000100101…
…1010110010000000000
3100211102102210020121211
41133301023112100000
53141044104002314
6115123435055504
710300144045114
oct1376113262000
9324372706554
10102830531584
113a679177400
1217b198a1594
13990a0698c1
144d96d51744
152a1c9a59c4
hex17f12d6400

102830531584 has 99 divisors (see below), whose sum is σ = 226195115083. Its totient is φ = 46689843200.

The previous prime is 102830531569. The next prime is 102830531611. The reversal of 102830531584 is 485135038201.

The square root of 102830531584 is 320672.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112876089 + ... + 112876999.

Almost surely, 2102830531584 is an apocalyptic number.

102830531584 is the 320672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102830531584

102830531584 is an abundant number, since it is smaller than the sum of its proper divisors (123364583499).

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

102830531584 is an frugal number, since it uses more digits than its factorization.

102830531584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 102830531584 its reverse (485135038201), we get a palindrome (587965569785).

The spelling of 102830531584 in words is "one hundred two billion, eight hundred thirty million, five hundred thirty-one thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 911 968 1024 1408 1822 1936 2816 3644 3872 5632 7288 7744 10021 11264 14576 15488 20042 29152 30976 40084 58304 61952 80168 110231 116608 123904 160336 220462 233216 320672 440924 466432 641344 829921 881848 932864 1282688 1659842 1763696 2565376 3319684 3527392 5130752 6639368 7054784 9129131 10261504 13278736 14109568 18258262 26557472 28219136 36516524 53114944 56438272 73033048 100420441 106229888 112876544 146066096 200840882 212459776 292132192 401681764 424919552 584264384 803363528 849839104 1168528768 1606727056 2337057536 3213454112 4674115072 6426908224 9348230144 12853816448 25707632896 51415265792 102830531584