Search a number
-
+
112012101011112 = 233257281557116027
BaseRepresentation
bin11001011101111111011001…
…011111011100011010101000
3112200121020210220120200121220
4121131333121133130122220
5104140201240324323422
61034121352051302040
732410415166104451
oct3135773137343250
9480536726520556
10112012101011112
1132766079964805
1210690841baa920
134a669078a6123
141d935b39c4128
15ce3a59c64e5c
hex65dfd97dc6a8

112012101011112 has 128 divisors (see below), whose sum is σ = 282629226464640. Its totient is φ = 36992875888640.

The previous prime is 112012101011089. The next prime is 112012101011141. The reversal of 112012101011112 is 211110101210211.

It is a junction number, because it is equal to n+sod(n) for n = 112012101011091 and 112012101011100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965338843 + ... + 965454869.

It is an arithmetic number, because the mean of its divisors is an integer number (2208040831755).

Almost surely, 2112012101011112 is an apocalyptic number.

112012101011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112012101011112 is an abundant number, since it is smaller than the sum of its proper divisors (170617125453528).

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

112012101011112 is a wasteful number, since it uses less digits than its factorization.

112012101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117131 (or 117127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 112012101011112 its reverse (211110101210211), we get a palindrome (323122202221323).

The spelling of 112012101011112 in words is "one hundred twelve trillion, twelve billion, one hundred one million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 257 281 514 557 562 771 843 1028 1114 1124 1542 1671 1686 2056 2228 2248 3084 3342 3372 4456 6168 6684 6744 13368 72217 116027 143149 144434 156517 216651 232054 286298 288868 313034 348081 429447 433302 464108 469551 572596 577736 626068 696162 858894 866604 928216 939102 1145192 1252136 1392324 1717788 1733208 1878204 2784648 3435576 3756408 29818939 32603587 40224869 59637878 64627039 65207174 80449738 89456817 97810761 119275756 120674607 129254078 130414348 160899476 178913634 193881117 195621522 238551512 241349214 258508156 260828696 321798952 357827268 387762234 391243044 482698428 517016312 715654536 775524468 782486088 965396856 1551048936 8379121859 16609149023 16758243718 18160197959 25137365577 33218298046 33516487436 36320395918 49827447069 50274731154 54480593877 66436596092 67032974872 72640791836 99654894138 100549462308 108961187754 132873192184 145281583672 199309788276 201098924616 217922375508 398619576552 435844751016 4667170875463 9334341750926 14001512626389 18668683501852 28003025252778 37337367003704 56006050505556 112012101011112