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112000022221122 = 232719304115384293
BaseRepresentation
bin11001011101110100001001…
…100010100001000101000010
3112200120002122010012120201200
4121131310021202201011002
5104140002021142033442
61034112033325042030
732406506650064340
oct3135641142410502
9480502563176650
10112000022221122
1132760a40789042
121068a4309b6316
134a65731315c09
141d92b89736990
15ce359e62e34c
hex65dd098a1142

112000022221122 has 96 divisors (see below), whose sum is σ = 292025899451520. Its totient is φ = 30305824496640.

The previous prime is 112000022221013. The next prime is 112000022221133. The reversal of 112000022221122 is 221122220000211.

It is a happy number.

112000022221122 is a `hidden beast` number, since 11 + 200 + 0 + 0 + 222 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112000022221095 and 112000022221104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 411993 + ... + 14972300.

It is an arithmetic number, because the mean of its divisors is an integer number (3041936452620).

Almost surely, 2112000022221122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000022221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146012949725760).

112000022221122 is an abundant number, since it is smaller than the sum of its proper divisors (180025877230398).

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

112000022221122 is a wasteful number, since it uses less digits than its factorization.

112000022221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387368 (or 15387365 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112000022221122 its reverse (221122220000211), we get a palindrome (333122242221333).

The spelling of 112000022221122 in words is "one hundred twelve trillion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 3041 6082 9123 18246 21287 27369 42574 54738 57779 63861 115558 127722 173337 191583 346674 383166 404453 520011 808906 1040022 1213359 2426718 3640077 7280154 15384293 30768586 46152879 92305758 107690051 138458637 215380102 276917274 292301567 323070153 584603134 646140306 876904701 969210459 1753809402 1938420918 2046110969 2630714103 4092221938 5261428206 6138332907 12276665814 18414998721 36829997442 46783635013 93567270026 140350905039 280701810078 327485445091 421052715117 654970890182 842105430234 888889065247 982456335273 1777778130494 1964912670546 2666667195741 2947369005819 5333334391482 5894738011638 6222223456729 8000001587223 12444446913458 16000003174446 18666670370187 37333340740374 56000011110561 112000022221122