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112422112220 = 225111019835147
BaseRepresentation
bin110100010110011100…
…0010100101111011100
3101202011220001000201002
41220230320110233130
53320220030042340
6123351312005432
711056632121055
oct1505470245734
9352156030632
10112422112220
1143750395950
1219955b30878
13a7a82584c2
145626b5b72c
152dcea8a715
hex1a2ce14bdc

112422112220 has 96 divisors (see below), whose sum is σ = 260414009856. Its totient is φ = 40426976000.

The previous prime is 112422112207. The next prime is 112422112349. The reversal of 112422112220 is 22211224211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112422112192 and 112422112201.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21839687 + ... + 21844833.

It is an arithmetic number, because the mean of its divisors is an integer number (2712645936).

Almost surely, 2112422112220 is an apocalyptic number.

112422112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112422112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130207004928).

112422112220 is an abundant number, since it is smaller than the sum of its proper divisors (147991897636).

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

112422112220 is a wasteful number, since it uses less digits than its factorization.

112422112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112422112220 its reverse (22211224211), we get a palindrome (134633336431).

The spelling of 112422112220 in words is "one hundred twelve billion, four hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 983 1010 1111 1966 2020 2222 3932 4444 4915 5147 5555 9830 10294 10813 11110 19660 20588 21626 22220 25735 43252 51470 54065 56617 99283 102940 108130 113234 198566 216260 226468 283085 397132 496415 519847 566170 992830 1039694 1092113 1132340 1985660 2079388 2184226 2599235 4368452 5059501 5198470 5460565 5718317 10119002 10396940 10921130 11436634 20238004 21842260 22873268 25297505 28591585 50595010 55654511 57183170 101190020 111309022 114366340 222618044 278272555 511009601 556545110 1022019202 1113090220 2044038404 2555048005 5110096010 5621105611 10220192020 11242211222 22484422444 28105528055 56211056110 112422112220