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212012303000 = 23531095773371
BaseRepresentation
bin1100010101110011101…
…0110000001010011000
3202021020111112220101112
43011130322300022120
511433200122144000
6241221435235452
721213601561361
oct3053472601230
9667214486345
10212012303000
1181a06466243
123510a5a8b88
1316cb9ba0884
14a3935c2b68
1557acd25235
hex315ceb0298

212012303000 has 128 divisors (see below), whose sum is σ = 501676718400. Its totient is φ = 83856384000.

The previous prime is 212012302973. The next prime is 212012303003. The reversal of 212012303000 is 303210212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212012303003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62891315 + ... + 62894685.

Almost surely, 2212012303000 is an apocalyptic number.

212012303000 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 212012303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250838359200).

212012303000 is an abundant number, since it is smaller than the sum of its proper divisors (289664415400).

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

212012303000 is a wasteful number, since it uses less digits than its factorization.

212012303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 212012303000 its reverse (303210212), we get a palindrome (212315513212).

The spelling of 212012303000 in words is "two hundred twelve billion, twelve million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 577 872 1000 1090 1154 2180 2308 2725 2885 3371 4360 4616 5450 5770 6742 10900 11540 13484 13625 14425 16855 21800 23080 26968 27250 28850 33710 54500 57700 62893 67420 72125 84275 109000 115400 125786 134840 144250 168550 251572 288500 314465 337100 367439 421375 503144 577000 628930 674200 734878 842750 1257860 1469756 1572325 1685500 1837195 1945067 2515720 2939512 3144650 3371000 3674390 3890134 6289300 7348780 7780268 7861625 9185975 9725335 12578600 14697560 15560536 15723250 18371950 19450670 31446500 36743900 38901340 45929875 48626675 62893000 73487800 77802680 91859750 97253350 183719500 194506700 212012303 243133375 367439000 389013400 424024606 486266750 848049212 972533500 1060061515 1696098424 1945067000 2120123030 4240246060 5300307575 8480492120 10600615150 21201230300 26501537875 42402460600 53003075750 106006151500 212012303000