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112541020 = 225171911733
BaseRepresentation
bin1101011010100…
…11110101011100
321211202200020221
412231103311130
5212302303040
615100051124
72534403634
oct655236534
9254680227
10112541020
1158587809
1231833aa4
131a414b27
1410d376c4
159d3074a
hex6b53d5c

112541020 has 48 divisors (see below), whose sum is σ = 251693568. Its totient is φ = 42122240.

The previous prime is 112541017. The next prime is 112541021. The reversal of 112541020 is 20145211.

It is a junction number, because it is equal to n+sod(n) for n = 112540985 and 112541003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112541021) 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, 64074 + ... + 65806.

It is an arithmetic number, because the mean of its divisors is an integer number (5243616).

Almost surely, 2112541020 is an apocalyptic number.

112541020 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 112541020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846784).

112541020 is an abundant number, since it is smaller than the sum of its proper divisors (139152548).

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

112541020 is a wasteful number, since it uses less digits than its factorization.

112541020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112541020 is about 10608.5352429070. The cubic root of 112541020 is about 482.8033583206.

Adding to 112541020 its reverse (20145211), we get a palindrome (132686231).

The spelling of 112541020 in words is "one hundred twelve million, five hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 191 340 382 764 955 1733 1910 3247 3466 3820 6494 6932 8665 12988 16235 17330 29461 32470 34660 58922 64940 117844 147305 294610 331003 589220 662006 1324012 1655015 3310030 5627051 6620060 11254102 22508204 28135255 56270510 112541020