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112110120020 = 22561241381301
BaseRepresentation
bin110100001101001001…
…0001010110001010100
3101201101010222011212102
41220122102022301110
53314100142320040
6123300324541232
711046123203603
oct1503222126124
9351333864772
10112110120020
1143600270558
1219889551818
13a75871c132
1455d7545a3a
152db24ad515
hex1a1a48ac54

112110120020 has 48 divisors (see below), whose sum is σ = 240284318736. Its totient is φ = 43925760000.

The previous prime is 112110119987. The next prime is 112110120029. The reversal of 112110120020 is 20021011211.

It can be written as a sum of positive squares in 8 ways, for example, as 978563524 + 111131556496 = 31282^2 + 333364^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112110119983 and 112110120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112110120029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103370 + ... + 484670.

It is an arithmetic number, because the mean of its divisors is an integer number (5005923307).

Almost surely, 2112110120020 is an apocalyptic number.

112110120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112110120020 is an abundant number, since it is smaller than the sum of its proper divisors (128174198716).

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

112110120020 is a wasteful number, since it uses less digits than its factorization.

112110120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381612 (or 381610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112110120020 its reverse (20021011211), we get a palindrome (132131131231).

The spelling of 112110120020 in words is "one hundred twelve billion, one hundred ten million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 241 244 305 482 610 964 1205 1220 2410 4820 14701 29402 58804 73505 147010 294020 381301 762602 1525204 1906505 3813010 7626020 23259361 46518722 91893541 93037444 116296805 183787082 232593610 367574164 459467705 465187220 918935410 1837870820 5605506001 11211012002 22422024004 28027530005 56055060010 112110120020