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103087229184 = 283266892
BaseRepresentation
bin110000000000001111…
…0100100100100000000
3100212002022210211112100
41200000132210210000
53142110312313214
6115205125030400
710306411663452
oct1400036444400
9325068724470
10103087229184
113a7a0065085
1217b8b855400
13994b2b5984
144dbd0922d2
152a352ae309
hex18007a4900

103087229184 has 81 divisors (see below), whose sum is σ = 297270337273. Its totient is φ = 34357272576.

The previous prime is 103087229107. The next prime is 103087229209. The reversal of 103087229184 is 481922780301.

It is a happy number.

The square root of 103087229184 is 321072.

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

103087229184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 86041315584 + 17045913600 = 293328^2 + 130560^2 .

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, 15408112 + ... + 15414800.

Almost surely, 2103087229184 is an apocalyptic number.

103087229184 is the 321072-nd square number.

It is an amenable number.

103087229184 is an abundant number, since it is smaller than the sum of its proper divisors (194183108089).

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

103087229184 is an frugal number, since it uses more digits than its factorization.

103087229184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 103087229184 in words is "one hundred three billion, eighty-seven million, two hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6689 13378 20067 26756 40134 53512 60201 80268 107024 120402 160536 214048 240804 321072 428096 481608 642144 856192 963216 1284288 1712384 1926432 2568576 3852864 5137152 7705728 15411456 44742721 89485442 134228163 178970884 268456326 357941768 402684489 536912652 715883536 805368978 1073825304 1431767072 1610737956 2147650608 2863534144 3221475912 4295301216 5727068288 6442951824 8590602432 11454136576 12885903648 17181204864 25771807296 34362409728 51543614592 103087229184