Search a number
-
+
212020120122210 = 232523613116706113
BaseRepresentation
bin110000001101010011000111…
…111100011111001101100010
31000210200220222201021021022100
4300031103013330133031202
5210242214201222402320
62030532410515351230
762441643140464461
oct6015230774371542
91023626881237270
10212020120122210
1161613256501824
121b942b052b2516
13913c5471c3b0a
143a4db858369d8
15197a1e3557790
hexc0d4c7f1f362

212020120122210 has 96 divisors (see below), whose sum is σ = 575313660125568. Its totient is φ = 54071670343680.

The previous prime is 212020120122199. The next prime is 212020120122247. The reversal of 212020120122210 is 12221021020212.

It is a happy number.

212020120122210 is a `hidden beast` number, since 21 + 20 + 201 + 201 + 2 + 221 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4338114 + ... + 21044226.

It is an arithmetic number, because the mean of its divisors is an integer number (5992850626308).

Almost surely, 2212020120122210 is an apocalyptic number.

212020120122210 is an abundant number, since it is smaller than the sum of its proper divisors (363293540003358).

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

212020120122210 is a wasteful number, since it uses less digits than its factorization.

212020120122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712280 (or 16712277 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212020120122210 its reverse (12221021020212), we get a palindrome (224241141142422).

The spelling of 212020120122210 in words is "two hundred twelve trillion, twenty billion, one hundred twenty million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 6131 12262 18393 30655 36786 55179 61310 91965 110358 141013 183930 275895 282026 423039 551790 705065 846078 1269117 1410130 2115195 2538234 4230390 6345585 12691170 16706113 33412226 50118339 83530565 100236678 150355017 167061130 250591695 300710034 384240599 501183390 751775085 768481198 1152721797 1503550170 1921202995 2305443594 3458165391 3842405990 5763608985 6916330782 11527217970 17290826955 34581653910 102425178803 204850357606 307275536409 512125894015 614551072818 921826609227 1024251788030 1536377682045 1843653218454 2355779112469 3072755364090 4609133046135 4711558224938 7067337337407 9218266092270 11778895562345 14134674674814 21202012012221 23557791124690 35336686687035 42404024024442 70673373374070 106010060061105 212020120122210