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112122012211 = 111783107181373
BaseRepresentation
bin110100001101011111…
…1100010001000110011
3101201101222100100212221
41220122333202020303
53314111213342321
6123301431501511
711046326243656
oct1503277421063
9351358310787
10112122012211
1143606a53310
1219891527897
13a75b024031
1455d8d5d89d
152db355be41
hex1a1afe2233

112122012211 has 64 divisors (see below), whose sum is σ = 133382785536. Its totient is φ = 93122611200.

The previous prime is 112122012209. The next prime is 112122012221. The reversal of 112122012211 is 112210221211.

It is a cyclic number.

It is not a de Polignac number, because 112122012211 - 21 = 112122012209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 300595021 + ... + 300595393.

It is an arithmetic number, because the mean of its divisors is an integer number (2084106024).

Almost surely, 2112122012211 is an apocalyptic number.

112122012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112122012211 is a deficient number, since it is larger than the sum of its proper divisors (21260773325).

112122012211 is a wasteful number, since it uses less digits than its factorization.

112122012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772.

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

Adding to 112122012211 its reverse (112210221211), we get a palindrome (224332233422).

The spelling of 112122012211 in words is "one hundred twelve billion, one hundred twenty-two million, twelve thousand, two hundred eleven".

Divisors: 1 11 17 83 107 181 187 373 913 1177 1411 1819 1991 3077 4103 6341 8881 15023 15521 19367 20009 30959 33847 39911 67513 69751 97691 150977 165253 213037 255391 329239 340549 439021 526303 678487 742643 1147721 1607461 1660747 2809301 3312613 3621629 5603579 5789333 7223891 7463357 12624931 17682071 27326837 36438743 56314421 61639369 79462801 95260843 122806147 300595207 599582953 619458631 1047869273 1350867617 6595412483 10192910201 112122012211