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10012112303112 = 2332172539078613
BaseRepresentation
bin1001000110110010000001…
…1001011011010000001000
31022110011000022200000002100
42101230200121123100020
52303014301222144422
633143300105433400
72052231322254333
oct221544031332010
938404008600070
1010012112303112
11321012741a687
1211584b819b860
135781a465079a
14268835a2161a
151256884987ac
hex91b2065b408

10012112303112 has 144 divisors (see below), whose sum is σ = 29348526263940. Its totient is φ = 3081789315072.

The previous prime is 10012112303093. The next prime is 10012112303113. The reversal of 10012112303112 is 21130321121001.

10012112303112 is a `hidden beast` number, since 1 + 0 + 0 + 121 + 1 + 230 + 311 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6845371045956 + 3166741257156 = 2616366^2 + 1779534^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10012112303113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3436483 + ... + 5642130.

Almost surely, 210012112303112 is an apocalyptic number.

10012112303112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012112303112 is an abundant number, since it is smaller than the sum of its proper divisors (19336413960828).

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

10012112303112 is a wasteful number, since it uses less digits than its factorization.

10012112303112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078712 (or 9078688 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10012112303112 its reverse (21130321121001), we get a palindrome (31142433424113).

The spelling of 10012112303112 in words is "ten trillion, twelve billion, one hundred twelve million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 289 306 318 408 424 477 578 612 636 867 901 954 1156 1224 1272 1734 1802 1908 2312 2601 2703 3468 3604 3816 5202 5406 6936 7208 8109 10404 10812 15317 16218 20808 21624 30634 32436 45951 61268 64872 91902 122536 137853 183804 275706 367608 551412 1102824 9078613 18157226 27235839 36314452 54471678 72628904 81707517 108943356 154336421 163415034 217886712 308672842 326830068 463009263 481166489 617345684 653660136 926018526 962332978 1234691368 1389027789 1443499467 1852037052 1924665956 2623719157 2778055578 2886998934 3704074104 3849331912 4330498401 5247438314 5556111156 5773997868 7871157471 8179830313 8660996802 10494876628 11112222312 11547995736 15742314942 16359660626 17321993604 20989753256 23613472413 24539490939 31484629884 32719321252 34643987208 47226944826 49078981878 62969259768 65438642504 73618472817 94453889652 98157963756 139057115321 147236945634 188907779304 196315927512 278114230642 294473891268 417171345963 556228461284 588947782536 834342691926 1112456922568 1251514037889 1668685383852 2503028075778 3337370767704 5006056151556 10012112303112