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2112103000 = 23537535693
BaseRepresentation
bin111110111100100…
…0010001001011000
312110012021221122001
41331321002021120
513311144244000
6545325410344
7103224402460
oct17571021130
95405257561
102112103000
11994255277
124ab4099b4
132787679b7
1416071aba0
15c565846a
hex7de42258

2112103000 has 128 divisors (see below), whose sum is σ = 5755950720. Its totient is φ = 710361600.

The previous prime is 2112102997. The next prime is 2112103009. The reversal of 2112103000 is 3012112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112103009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368154 + ... + 373846.

It is an arithmetic number, because the mean of its divisors is an integer number (44968365).

Almost surely, 22112103000 is an apocalyptic number.

2112103000 is a gapful number since it is divisible by the number (20) 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 2112103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877975360).

2112103000 is an abundant number, since it is smaller than the sum of its proper divisors (3643847720).

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

2112103000 is a wasteful number, since it uses less digits than its factorization.

2112103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2112103000 is about 45957.6217835519. The cubic root of 2112103000 is about 1283.0345887323.

Adding to 2112103000 its reverse (3012112), we get a palindrome (2115115112).

The spelling of 2112103000 in words is "two billion, one hundred twelve million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 125 140 175 200 212 250 265 280 350 371 424 500 530 700 742 875 1000 1060 1325 1400 1484 1750 1855 2120 2650 2968 3500 3710 5300 5693 6625 7000 7420 9275 10600 11386 13250 14840 18550 22772 26500 28465 37100 39851 45544 46375 53000 56930 74200 79702 92750 113860 142325 159404 185500 199255 227720 284650 301729 318808 371000 398510 569300 603458 711625 797020 996275 1138600 1206916 1423250 1508645 1594040 1992550 2112103 2413832 2846500 3017290 3985100 4224206 4981375 5693000 6034580 7543225 7970200 8448412 9962750 10560515 12069160 15086450 16896824 19925500 21121030 30172900 37716125 39851000 42242060 52802575 60345800 75432250 84484120 105605150 150864500 211210300 264012875 301729000 422420600 528025750 1056051500 2112103000