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112201120100 = 225259131179811
BaseRepresentation
bin110100001111110110…
…1010011100101100100
3101201121111012110111202
41220133231103211210
53314241441320400
6123313335222032
711051306533136
oct1503755234544
9351544173452
10112201120100
1143647675233
12198b3b17918
13a771531334
145605673056
152dba4864d5
hex1a1fb53964

112201120100 has 144 divisors (see below), whose sum is σ = 251196422400. Its totient is φ = 43484688000.

The previous prime is 112201120099. The next prime is 112201120123. The reversal of 112201120100 is 1021102211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138348695 + ... + 138349505.

It is an arithmetic number, because the mean of its divisors is an integer number (1744419600).

Almost surely, 2112201120100 is an apocalyptic number.

112201120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125598211200).

112201120100 is an abundant number, since it is smaller than the sum of its proper divisors (138995302300).

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

112201120100 is a wasteful number, since it uses less digits than its factorization.

112201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112201120100 its reverse (1021102211), we get a palindrome (113222222311).

The spelling of 112201120100 in words is "one hundred twelve billion, two hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 131 179 236 262 295 358 524 590 655 716 811 895 1180 1310 1475 1622 1790 2620 2950 3244 3275 3580 4055 4475 5900 6550 7729 8110 8950 10561 13100 15458 16220 17900 20275 21122 23449 30916 38645 40550 42244 46898 47849 52805 77290 81100 93796 95698 105610 106241 117245 145169 154580 191396 193225 211220 212482 234490 239245 264025 290338 386450 424964 468980 478490 528050 531205 580676 586225 725845 772900 956980 1056100 1062410 1172450 1196225 1383491 1451690 2124820 2344900 2392450 2656025 2766982 2903380 3629225 4784900 5312050 5533964 6268219 6917455 7258450 8564971 10624100 12536438 13834910 14516900 17129942 19017139 25072876 27669820 31341095 34259884 34587275 38034278 42824855 62682190 69174550 76068556 85649710 95085695 125364380 138349100 156705475 171299420 190171390 214124275 313410950 380342780 428248550 475428475 626821900 856497100 950856950 1122011201 1901713900 2244022402 4488044804 5610056005 11220112010 22440224020 28050280025 56100560050 112201120100