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112011020 = 22511712101
BaseRepresentation
bin1101010110100…
…10011100001100
321210202202020022
412223102130030
5212133323040
615040441312
72530035512
oct653223414
9253682208
10112011020
11582555a0
1231619238
131a28a814
1410c3a4b2
159c786b5
hex6ad270c

112011020 has 72 divisors (see below), whose sum is σ = 262849104. Its totient is φ = 39760000.

The previous prime is 112011007. The next prime is 112011043. The reversal of 112011020 is 20110211.

It is a junction number, because it is equal to n+sod(n) for n = 112010989 and 112011007.

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 23 ways as a sum of consecutive naturals, for example, 1108970 + ... + 1109070.

It is an arithmetic number, because the mean of its divisors is an integer number (3650682).

Almost surely, 2112011020 is an apocalyptic number.

112011020 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 112011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131424552).

112011020 is an abundant number, since it is smaller than the sum of its proper divisors (150838084).

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

112011020 is a wasteful number, since it uses less digits than its factorization.

112011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 112011020 is about 10583.5258775136. The cubic root of 112011020 is about 482.0442617021.

Adding to 112011020 its reverse (20110211), we get a palindrome (132121231).

It can be divided in two parts, 11201 and 1020, that added together give a palindrome (12221).

The spelling of 112011020 in words is "one hundred twelve million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 101 110 142 202 220 284 355 404 505 710 781 1010 1111 1420 1562 2020 2222 3124 3905 4444 5041 5555 7171 7810 10082 11110 14342 15620 20164 22220 25205 28684 35855 50410 55451 71710 78881 100820 110902 143420 157762 221804 277255 315524 394405 509141 554510 788810 1018282 1109020 1577620 2036564 2545705 5091410 5600551 10182820 11201102 22402204 28002755 56005510 112011020