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112530220 = 225114710883
BaseRepresentation
bin1101011010100…
…01001100101100
321211202010102221
412231101030230
5212301431340
615055525124
72534330305
oct655211454
9254663387
10112530220
115857a690
12318297a4
131a40cc3a
1410d337ac
159d2c44a
hex6b5132c

112530220 has 48 divisors (see below), whose sum is σ = 263305728. Its totient is φ = 40045760.

The previous prime is 112530211. The next prime is 112530233. The reversal of 112530220 is 22035211.

It is a junction number, because it is equal to n+sod(n) for n = 112530194 and 112530203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4899 + ... + 15781.

It is an arithmetic number, because the mean of its divisors is an integer number (5485536).

Almost surely, 2112530220 is an apocalyptic number.

112530220 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 112530220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131652864).

112530220 is an abundant number, since it is smaller than the sum of its proper divisors (150775508).

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

112530220 is a wasteful number, since it uses less digits than its factorization.

112530220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 112530220 is about 10608.0262066041. The cubic root of 112530220 is about 482.7879137503.

Adding to 112530220 its reverse (22035211), we get a palindrome (134565431).

The spelling of 112530220 in words is "one hundred twelve million, five hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 10883 21766 43532 54415 108830 119713 217660 239426 478852 511501 598565 1023002 1197130 2046004 2394260 2557505 5115010 5626511 10230020 11253022 22506044 28132555 56265110 112530220