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112003212220300 = 225253160724775309
BaseRepresentation
bin11001011101110111000111…
…101011011001011110001100
3112200120101212102202022221101
4121131313013223121132030
5104140030034312022200
61034113322041512444
732406652003452442
oct3135670753313614
9480511772668841
10112003212220300
11327623284206a5
121068ab811a2724
134a65b1c1926ab
141d92dad27ab92
15ce36d970426a
hex65ddc7ad978c

112003212220300 has 144 divisors (see below), whose sum is σ = 247933585609920. Its totient is φ = 43902619171840.

The previous prime is 112003212220283. The next prime is 112003212220303. The reversal of 112003212220300 is 3022212300211.

It is not an unprimeable number, because it can be changed into a prime (112003212220303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21096854046 + ... + 21096859354.

It is an arithmetic number, because the mean of its divisors is an integer number (1721761011180).

Almost surely, 2112003212220300 is an apocalyptic number.

112003212220300 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 112003212220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123966792804960).

112003212220300 is an abundant number, since it is smaller than the sum of its proper divisors (135930373389620).

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

112003212220300 is a wasteful number, since it uses less digits than its factorization.

112003212220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 112003212220300 its reverse (3022212300211), we get a palindrome (115025424520511).

The spelling of 112003212220300 in words is "one hundred twelve trillion, three billion, two hundred twelve million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1607 2477 2650 3214 4954 5300 5309 6428 8035 9908 10618 12385 16070 21236 24770 26545 32140 40175 49540 53090 61925 80350 85171 106180 123850 131281 132725 160700 170342 247700 262562 265450 281377 340684 425855 525124 530900 562754 656405 851710 1125508 1312810 1406885 1703420 2129275 2625620 2813770 3282025 3980539 4258550 5627540 6564050 7034425 7961078 8517100 8531563 13128100 13150393 14068850 15922156 17063126 19902695 26300786 28137700 34126252 39805390 42657815 52601572 65751965 79610780 85315630 99513475 131503930 170631260 199026950 210968567 213289075 263007860 328759825 398053900 421937134 426578150 452172839 657519650 696970829 843874268 853156300 904345678 1054842835 1315039300 1393941658 1808691356 2109685670 2260864195 2787883316 3484854145 4219371340 4521728390 5274214175 6969708290 9043456780 10548428350 11304320975 13939416580 17424270725 21096856700 21132681551 22608641950 34848541450 42265363102 45217283900 69697082900 84530726204 105663407755 211326815510 422653631020 528317038775 1056634077550 1120032122203 2113268155100 2240064244406 4480128488812 5600160611015 11200321222030 22400642444060 28000803055075 56001606110150 112003212220300