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112012020 = 223253072027
BaseRepresentation
bin1101010110100…
…10101011110100
321210202210121100
412223102223310
5212133341040
615040450100
72530041441
oct653225364
9253683540
10112012020
115825631a
1231619930
131a28b103
1410c3a9c8
159c78b30
hex6ad2af4

112012020 has 72 divisors (see below), whose sum is σ = 341044704. Its totient is φ = 29757888.

The previous prime is 112012009. The next prime is 112012037. The reversal of 112012020 is 20210211.

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 = 112011993 and 112012011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54247 + ... + 56273.

It is an arithmetic number, because the mean of its divisors is an integer number (4736732).

Almost surely, 2112012020 is an apocalyptic number.

112012020 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 112012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170522352).

112012020 is an abundant number, since it is smaller than the sum of its proper divisors (229032684).

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

112012020 is a wasteful number, since it uses less digits than its factorization.

112012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2344 counting only the distinct ones).

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

The square root of 112012020 is about 10583.5731206431. The cubic root of 112012020 is about 482.0456962123.

Adding to 112012020 its reverse (20210211), we get a palindrome (132222231).

The spelling of 112012020 in words is "one hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2027 2763 3070 3684 4054 4605 5526 6081 6140 8108 9210 10135 11052 12162 13815 18243 18420 20270 24324 27630 30405 36486 40540 55260 60810 72972 91215 121620 182430 364860 622289 1244578 1866867 2489156 3111445 3733734 5600601 6222890 7467468 9334335 11201202 12445780 18668670 22402404 28003005 37337340 56006010 112012020