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112320212202 = 232111779422393
BaseRepresentation
bin110100010011011001…
…1100110110011101010
3101201220210021222011100
41220212303212303222
53320012433242302
6123333231542230
711054254023342
oct1504663466352
9351823258140
10112320212202
11436a8916960
121992798a976
13a7900cac33
1456173d3d22
152dc5b5cd1c
hex1a26ce6cea

112320212202 has 96 divisors (see below), whose sum is σ = 284659764480. Its totient is φ = 31628712960.

The previous prime is 112320212189. The next prime is 112320212239. The reversal of 112320212202 is 202212023211.

112320212202 is a `hidden beast` number, since 112 + 320 + 212 + 20 + 2 = 666.

112320212202 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 (18).

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, 54718 + ... + 477110.

It is an arithmetic number, because the mean of its divisors is an integer number (2965205880).

Almost surely, 2112320212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112320212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142329882240).

112320212202 is an abundant number, since it is smaller than the sum of its proper divisors (172339552278).

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

112320212202 is a wasteful number, since it uses less digits than its factorization.

112320212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422508 (or 422505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112320212202 its reverse (202212023211), we get a palindrome (314532235413).

The spelling of 112320212202 in words is "one hundred twelve billion, three hundred twenty million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 79 99 102 153 158 187 198 237 306 374 474 561 711 869 1122 1343 1422 1683 1738 2607 2686 3366 4029 5214 7821 8058 12087 14773 15642 24174 29546 44319 88638 132957 265914 422393 844786 1267179 2534358 3801537 4646323 7180681 7603074 9292646 13938969 14361362 21542043 27877938 33369047 41816907 43084086 64626129 66738094 78987491 83633814 100107141 129252258 157974982 200214282 236962473 300321423 367059517 473924946 567273799 600642846 710887419 734119034 1101178551 1134547598 1421774838 1701821397 2202357102 3303535653 3403642794 5105464191 6240011789 6607071306 10210928382 12480023578 18720035367 37440070734 56160106101 112320212202