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112012112200100 = 22527719723234689
BaseRepresentation
bin11001011101111111011010…
…001010001000000110100100
3112200121020211200122011000212
4121131333122022020012210
5104140201301210400400
61034121353131154552
732410415363155430
oct3135773212100644
9480536750564025
10112012112200100
1132766085207202
12106908458a5a58
134a66909cc2c28
141d935b52979c0
15ce3a5ac25335
hex65dfda2881a4

112012112200100 has 144 divisors (see below), whose sum is σ = 284606736503040. Its totient is φ = 37472904806400.

The previous prime is 112012112200063. The next prime is 112012112200111. The reversal of 112012112200100 is 1002211210211.

112012112200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6796445 + ... + 16438244.

It is an arithmetic number, because the mean of its divisors is an integer number (1976435670160).

Almost surely, 2112012112200100 is an apocalyptic number.

112012112200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012112200100 is an abundant number, since it is smaller than the sum of its proper divisors (172594624302940).

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

112012112200100 is a wasteful number, since it uses less digits than its factorization.

112012112200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23234878 (or 23234871 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112012112200100 its reverse (1002211210211), we get a palindrome (113014323410311).

The spelling of 112012112200100 in words is "one hundred twelve trillion, twelve billion, one hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 97 100 140 142 175 194 284 350 355 388 485 497 679 700 710 970 994 1358 1420 1775 1940 1988 2425 2485 2716 3395 3550 4850 4970 6790 6887 7100 9700 9940 12425 13580 13774 16975 24850 27548 33950 34435 48209 49700 67900 68870 96418 137740 172175 192836 241045 344350 482090 688700 964180 1205225 2410450 4820900 23234689 46469378 92938756 116173445 162642823 232346890 325285646 464693780 580867225 650571292 813214115 1161734450 1626428230 1649662919 2253764833 2323468900 3252856460 3299325838 4066070575 4507529666 6598651676 8132141150 8248314595 9015059332 11268824165 11547640433 15776353831 16264282300 16496629190 22537648330 23095280866 31552707662 32993258380 41241572975 45075296660 46190561732 56344120825 57738202165 63105415324 78881769155 82483145950 112688241650 115476404330 157763538310 160017303143 164966291900 225376483300 230952808660 288691010825 315527076620 320034606286 394408845775 577382021650 640069212572 788817691550 800086515715 1120121122001 1154764043300 1577635383100 1600173031430 2240242244002 3200346062860 4000432578575 4480484488004 5600605610005 8000865157150 11201211220010 16001730314300 22402422440020 28003028050025 56006056100050 112012112200100