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212030220312 = 233210130899439
BaseRepresentation
bin1100010101110111111…
…1000110100000011000
3202021021202021012022200
43011131333012200120
511433214214022222
6241223315250200
721214210064421
oct3053577064030
9667252235280
10212030220312
1181a15593839
12351145a9960
1316cc0805031
14a395b28648
1557ae6b3eac
hex315dfc6818

212030220312 has 96 divisors (see below), whose sum is σ = 580183344000. Its totient is φ = 69946905600.

The previous prime is 212030220289. The next prime is 212030220329. The reversal of 212030220312 is 213022030212.

212030220312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22458489 + ... + 22467927.

It is an arithmetic number, because the mean of its divisors is an integer number (6043576500).

Almost surely, 2212030220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212030220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290091672000).

212030220312 is an abundant number, since it is smaller than the sum of its proper divisors (368153123688).

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

212030220312 is a wasteful number, since it uses less digits than its factorization.

212030220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641 (or 12634 counting only the distinct ones).

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

Adding to 212030220312 its reverse (213022030212), we get a palindrome (425052250524).

The spelling of 212030220312 in words is "two hundred twelve billion, thirty million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3089 3636 6178 7272 9267 9439 12356 18534 18878 24712 27801 28317 37068 37756 55602 56634 74136 75512 84951 111204 113268 169902 222408 226536 311989 339804 623978 679608 935967 953339 1247956 1871934 1906678 2495912 2807901 2860017 3743868 3813356 5615802 5720034 7487736 7626712 8580051 11231604 11440068 17160102 22463208 22880136 29157071 34320204 58314142 68640408 87471213 116628284 174942426 233256568 262413639 349884852 524827278 699769704 1049654556 2099309112 2944864171 5889728342 8834592513 11779456684 17669185026 23558913368 26503777539 35338370052 53007555078 70676740104 106015110156 212030220312