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102130303232 = 2817127257719
BaseRepresentation
bin101111100011101110…
…0001100000100000000
3100202121122011221220102
41133013130030010000
53133130324200412
6114530142501532
710243612153046
oct1370734140400
9322548157812
10102130303232
113a349991491
12179632948a8
139827c7a5b9
144d2bd58396
1529cb28a8c2
hex17c770c100

102130303232 has 144 divisors (see below), whose sum is σ = 218703421440. Its totient is φ = 47431286784.

The previous prime is 102130303229. The next prime is 102130303267. The reversal of 102130303232 is 232303031201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142044569 + ... + 142045287.

It is an arithmetic number, because the mean of its divisors is an integer number (1518773760).

Almost surely, 2102130303232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102130303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109351710720).

102130303232 is an abundant number, since it is smaller than the sum of its proper divisors (116573118208).

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

102130303232 is a wasteful number, since it uses less digits than its factorization.

102130303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102130303232 its reverse (232303031201), we get a palindrome (334433334433).

The spelling of 102130303232 in words is "one hundred two billion, one hundred thirty million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 128 136 254 256 257 272 508 514 544 719 1016 1028 1088 1438 2032 2056 2159 2176 2876 4064 4112 4318 4352 4369 5752 8128 8224 8636 8738 11504 12223 16256 16448 17272 17476 23008 24446 32512 32639 32896 34544 34952 46016 48892 65278 65792 69088 69904 91313 92032 97784 130556 138176 139808 182626 184064 184783 195568 261112 276352 279616 365252 369566 391136 522224 552704 554863 559232 730504 739132 782272 1044448 1109726 1118464 1461008 1478264 1552321 1564544 2088896 2219452 2922016 2956528 3104642 3129088 3141311 4177792 4438904 5844032 5913056 6209284 6282622 8355584 8877808 11688064 11826112 12418568 12565244 17755616 23376128 23467441 23652224 24837136 25130488 35511232 46934882 47304448 49674272 50260976 71022464 93869764 99348544 100521952 142044928 187739528 198697088 201043904 375479056 397394176 398946497 402087808 750958112 797892994 804175616 1501916224 1595785988 3003832448 3191571976 6007664896 6383143952 12766287904 25532575808 51065151616 102130303232