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2110020211212 = 2232937344947513
BaseRepresentation
bin11110101101000111000…
…000010101001000001100
321110201022221021122220120
4132231013000111020030
5234032310133224322
64253155131544540
7305305160604234
oct36550700251014
97421287248816
102110020211212
11743944445981
122a0b295bb150
13123c87cb9874
14741a8614cc4
1539d46c68a5c
hex1eb4701520c

2110020211212 has 96 divisors (see below), whose sum is σ = 5232431736000. Its totient is φ = 660527788032.

The previous prime is 2110020211157. The next prime is 2110020211219. The reversal of 2110020211212 is 2121120200112.

It is a junction number, because it is equal to n+sod(n) for n = 2110020211191 and 2110020211200.

It is not an unprimeable number, because it can be changed into a prime (2110020211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44385568 + ... + 44433080.

It is an arithmetic number, because the mean of its divisors is an integer number (54504497250).

Almost surely, 22110020211212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110020211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616215868000).

2110020211212 is an abundant number, since it is smaller than the sum of its proper divisors (3122411524788).

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

2110020211212 is a wasteful number, since it uses less digits than its factorization.

2110020211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51035 (or 51033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2110020211212 its reverse (2121120200112), we get a palindrome (4231140411324).

It can be divided in two parts, 2110020 and 211212, that added together give a palindrome (2321232).

The spelling of 2110020211212 in words is "two trillion, one hundred ten billion, twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 3449 4292 6438 6898 10347 12876 13796 20694 41388 47513 95026 100021 127613 142539 190052 200042 255226 285078 300063 382839 400084 510452 570156 600126 765678 1200252 1377877 1531356 1757981 2755754 3515962 3700777 4133631 5273943 5511508 7031924 7401554 8267262 10547886 11102331 14803108 16534524 21095772 22204662 44409324 50981449 101962898 152944347 163872337 203925796 305888694 327744674 491617011 611777388 655489348 983234022 1966468044 4752297773 6063276469 9504595546 12126552938 14256893319 18189829407 19009191092 24253105876 28513786638 36379658814 57027573276 72759317628 175835017601 351670035202 527505052803 703340070404 1055010105606 2110020211212