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212301430200 = 233252317372067
BaseRepresentation
bin1100010110111000100…
…1101011110110111000
3202021222122121002100100
43011232021223312320
511434243131231300
6241310244235400
721224012244666
oct3055611536670
9667878532310
10212301430200
1182044693842
123518b39bb60
1317034a62762
14a3bdb65c36
1557c83d7700
hex316e26bdb8

212301430200 has 144 divisors (see below), whose sum is σ = 715230037080. Its totient is φ = 56434970880.

The previous prime is 212301430189. The next prime is 212301430207. The reversal of 212301430200 is 2034103212.

212301430200 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 1 + 430 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301430207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384567 + ... + 756633.

Almost surely, 2212301430200 is an apocalyptic number.

212301430200 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 212301430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357615018540).

212301430200 is an abundant number, since it is smaller than the sum of its proper divisors (502928606880).

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

212301430200 is a wasteful number, since it uses less digits than its factorization.

212301430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372406 (or 372394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212301430200 its reverse (2034103212), we get a palindrome (214335533412).

The spelling of 212301430200 in words is "two hundred twelve billion, three hundred one million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 317 360 450 600 634 900 951 1268 1585 1800 1902 2536 2853 3170 3804 4755 5706 6340 7608 7925 9510 11412 12680 14265 15850 19020 22824 23775 28530 31700 38040 47550 57060 63400 71325 95100 114120 142650 190200 285300 372067 570600 744134 1116201 1488268 1860335 2232402 2976536 3348603 3720670 4464804 5581005 6697206 7441340 8929608 9301675 11162010 13394412 14882680 16743015 18603350 22324020 26788824 27905025 33486030 37206700 44648040 55810050 66972060 74413400 83715075 111620100 117945239 133944120 167430150 223240200 235890478 334860300 353835717 471780956 589726195 669720600 707671434 943561912 1061507151 1179452390 1415342868 1769178585 2123014302 2358904780 2830685736 2948630975 3538357170 4246028604 4717809560 5307535755 5897261950 7076714340 8492057208 8845892925 10615071510 11794523900 14153428680 17691785850 21230143020 23589047800 26537678775 35383571700 42460286040 53075357550 70767143400 106150715100 212301430200