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2102903712 = 253271380239
BaseRepresentation
bin111110101010111…
…1100001110100000
312102112222120120200
41331111330032200
513301320404322
6544400305200
7103053246420
oct17525741640
95375876520
102102903712
1198a041758
124a8312200
13276896730
1415d404480
15c493c8ac
hex7d57c3a0

2102903712 has 144 divisors (see below), whose sum is σ = 7360254720. Its totient is φ = 554605056.

The previous prime is 2102903707. The next prime is 2102903713. The reversal of 2102903712 is 2173092012.

2102903712 is a `hidden beast` number, since 2 + 1 + 0 + 290 + 371 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2102903713) 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 23 ways as a sum of consecutive naturals, for example, 13912 + ... + 66327.

It is an arithmetic number, because the mean of its divisors is an integer number (51112880).

Almost surely, 22102903712 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 2102903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680127360).

2102903712 is an abundant number, since it is smaller than the sum of its proper divisors (5257351008).

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

2102903712 is a wasteful number, since it uses less digits than its factorization.

2102903712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80275 (or 80264 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2102903712 is about 45857.4281005815. The cubic root of 2102903712 is about 1281.1691206308.

Adding to 2102903712 its reverse (2173092012), we get a palindrome (4275995724).

The spelling of 2102903712 in words is "two billion, one hundred two million, nine hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 80239 160478 240717 320956 481434 561673 641912 722151 962868 1043107 1123346 1283824 1444302 1685019 1925736 2086214 2246692 2567648 2888604 3129321 3370038 3851472 4172428 4493384 5055057 5777208 6258642 6740076 7301749 7702944 8344856 8986768 9387963 10110114 11554416 12517284 13480152 14603498 16689712 17973536 18775926 20220228 21905247 23108832 25034568 26960304 29206996 33379424 37551852 40440456 43810494 50069136 53920608 58413992 65715741 75103704 80880912 87620988 100138272 116827984 131431482 150207408 161761824 175241976 233655968 262862964 300414816 350483952 525725928 700967904 1051451856 2102903712