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112002112201120 = 25510730491214561
BaseRepresentation
bin11001011101110110000110…
…000111001010000110100000
3112200120022000202212120022021
4121131312012013022012200
5104140020311210413440
61034113020544351224
732406612515446441
oct3135660607120640
9480508022776267
10112002112201120
11327619134a2a39
121068a914915514
134a659a530607b
141d92d071352c8
15ce3672d6784a
hex65dd861ca1a0

112002112201120 has 96 divisors (see below), whose sum is σ = 267087937951296. Its totient is φ = 44380482969600.

The previous prime is 112002112201033. The next prime is 112002112201139. The reversal of 112002112201120 is 21102211200211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112002112201094 and 112002112201103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521898640 + ... + 522113200.

It is an arithmetic number, because the mean of its divisors is an integer number (2782166020326).

Almost surely, 2112002112201120 is an apocalyptic number.

112002112201120 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 112002112201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133543968975648).

112002112201120 is an abundant number, since it is smaller than the sum of its proper divisors (155085825750176).

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

112002112201120 is a wasteful number, since it uses less digits than its factorization.

112002112201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245174 (or 245166 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112002112201120 its reverse (21102211200211), we get a palindrome (133104323401331).

The spelling of 112002112201120 in words is "one hundred twelve trillion, two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 17120 30491 60982 121964 152455 214561 243928 304910 429122 487856 609820 858244 975712 1072805 1219640 1716488 2145610 2439280 3262537 3432976 4291220 4878560 6525074 6865952 8582440 13050148 16312685 17164880 22958027 26100296 32625370 34329760 45916054 52200592 65250740 91832108 104401184 114790135 130501480 183664216 229580270 261002960 367328432 459160540 522005920 734656864 918321080 1836642160 3673284320 6542179451 13084358902 26168717804 32710897255 52337435608 65421794510 104674871216 130843589020 209349742432 261687178040 523374356080 700013201257 1046748712160 1400026402514 2800052805028 3500066006285 5600105610056 7000132012570 11200211220112 14000264025140 22400422440224 28000528050280 56001056100560 112002112201120