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2112110002212 = 2237172540716091
BaseRepresentation
bin11110101111000011100…
…100010000000000100100
321110220201120121001020020
4132233003210100000210
5234101100130032322
64254142343235140
7305411024541330
oct36570344200044
97426646531206
102112110002212
11744817040881
122a1411448ab0
1312422bc419a2
1474325da47c0
1539e1a46605c
hex1ebc3910024

2112110002212 has 144 divisors (see below), whose sum is σ = 5984572059648. Its totient is φ = 567822021120.

The previous prime is 2112110002207. The next prime is 2112110002231. The reversal of 2112110002212 is 2122000112112.

It is a super-3 number, since 3×21121100022123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2112110002191 and 2112110002200.

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, 131252287 + ... + 131268377.

It is an arithmetic number, because the mean of its divisors is an integer number (41559528192).

Almost surely, 22112110002212 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 2112110002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992286029824).

2112110002212 is an abundant number, since it is smaller than the sum of its proper divisors (3872462057436).

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

2112110002212 is a wasteful number, since it uses less digits than its factorization.

2112110002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21546 (or 21527 counting only the distinct ones).

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

Adding to 2112110002212 its reverse (2122000112112), we get a palindrome (4234110114324).

The spelling of 2112110002212 in words is "two trillion, one hundred twelve billion, one hundred ten million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 5407 6069 8092 10814 12138 16091 16221 21628 24276 32182 32442 37849 48273 64364 64884 75698 91919 96546 112637 113547 151396 183838 193092 225274 227094 273547 275757 337911 367676 450548 454188 547094 551514 643433 675822 820641 1094188 1103028 1286866 1351644 1562623 1641282 1914829 1930299 2573732 3125246 3282564 3829658 3860598 4650299 4687869 5744487 6250492 7659316 7721196 9300598 9375738 10938361 11488974 13950897 18601196 18751476 21876722 22977948 27901794 32552093 32815083 43753444 55803588 65104186 65630166 87004037 97656279 130208372 131260332 174008074 195312558 261012111 348016148 390625116 522024222 609028259 1044048444 1218056518 1479068629 1827084777 2436113036 2958137258 3654169554 4437205887 5916274516 7308339108 8874411774 10353480403 17748823548 20706960806 25144166693 31060441209 41413921612 50288333386 62120882418 75432500079 100576666772 124241764836 150865000158 176009166851 301730000316 352018333702 528027500553 704036667404 1056055001106 2112110002212