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112012000020 = 22325622288889
BaseRepresentation
bin110100001010001101…
…1110111101100010100
3101201010022100011112100
41220110123313230110
53313400033000040
6123242501522100
711043522201504
oct1502433675424
9351108304470
10112012000020
114355a943548
1219860713330
13a7412b626b
1455c84c3a04
152da8a7ab30
hex1a146f7b14

112012000020 has 36 divisors (see below), whose sum is σ = 339769733940. Its totient is φ = 29869866624.

The previous prime is 112011999997. The next prime is 112012000033. The reversal of 112012000020 is 20000210211.

It can be written as a sum of positive squares in 2 ways, for example, as 56859356304 + 55152643716 = 238452^2 + 234846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112011999966 and 112012000011.

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 11 ways as a sum of consecutive naturals, for example, 311144265 + ... + 311144624.

It is an arithmetic number, because the mean of its divisors is an integer number (9438048165).

Almost surely, 2112012000020 is an apocalyptic number.

112012000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012000020 is an abundant number, since it is smaller than the sum of its proper divisors (227757733920).

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

112012000020 is a wasteful number, since it uses less digits than its factorization.

112012000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622288904 (or 622288899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112012000020 its reverse (20000210211), we get a palindrome (132012210231).

The spelling of 112012000020 in words is "one hundred twelve billion, twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 622288889 1244577778 1866866667 2489155556 3111444445 3733733334 5600600001 6222888890 7467466668 9334333335 11201200002 12445777780 18668666670 22402400004 28003000005 37337333340 56006000010 112012000020