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112122120020 = 22517332405237
BaseRepresentation
bin110100001101011111…
…1111100011101010100
3101201101222112211202212
41220122333330131110
53314111230320040
6123301434052552
711046330203201
oct1503277743524
9351358484685
10112122120020
1143607017309
121989157a158
13a75b061121
1455d8d8aca8
152db357dd65
hex1a1affc754

112122120020 has 24 divisors (see below), whose sum is σ = 236817479304. Its totient is φ = 44589604736.

The previous prime is 112122119999. The next prime is 112122120043. The reversal of 112122120020 is 20021221211.

It can be written as a sum of positive squares in 4 ways, for example, as 18282825796 + 93839294224 = 135214^2 + 306332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112122119977 and 112122120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16199159 + ... + 16206078.

It is an arithmetic number, because the mean of its divisors is an integer number (9867394971).

Almost surely, 2112122120020 is an apocalyptic number.

112122120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122120020 is an abundant number, since it is smaller than the sum of its proper divisors (124695359284).

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

112122120020 is a wasteful number, since it uses less digits than its factorization.

112122120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32405419 (or 32405417 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112122120020 its reverse (20021221211), we get a palindrome (132143341231).

The spelling of 112122120020 in words is "one hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 32405237 64810474 129620948 162026185 324052370 648104740 5606106001 11212212002 22424424004 28030530005 56061060010 112122120020