Search a number
-
+
212302010302020 = 223251193998790151
BaseRepresentation
bin110000010001011001101001…
…111010001011111001000100
31000211200212121010101010001100
4300101121221322023321010
5210311324004114131040
62031310110324300100
762501212504462422
oct6021315172137104
91024625533333040
10212302010302020
1161711860128081
121b989675841630
13915ccbc120892
143a5d687722112
1519826e0db8b30
hexc11669e8be44

212302010302020 has 72 divisors (see below), whose sum is σ = 644036710524480. Its totient is φ = 56609126913600.

The previous prime is 212302010302007. The next prime is 212302010302033. The reversal of 212302010302020 is 20203010203212.

212302010302020 is a `hidden beast` number, since 2 + 1 + 230 + 201 + 0 + 30 + 202 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212302010302007) and next prime (212302010302033).

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

It is a junction number, because it is equal to n+sod(n) for n = 212302010301984 and 212302010302002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47246056 + ... + 51544095.

It is an arithmetic number, because the mean of its divisors is an integer number (8944954312840).

Almost surely, 2212302010302020 is an apocalyptic number.

212302010302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212302010302020 is an abundant number, since it is smaller than the sum of its proper divisors (431734700222460).

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

212302010302020 is a wasteful number, since it uses less digits than its factorization.

212302010302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98802105 (or 98802100 counting only the distinct ones).

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

Adding to 212302010302020 its reverse (20203010203212), we get a palindrome (232505020505232).

The spelling of 212302010302020 in words is "two hundred twelve trillion, three hundred two billion, ten million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11939 23878 35817 47756 59695 71634 107451 119390 143268 179085 214902 238780 358170 429804 537255 716340 1074510 2149020 98790151 197580302 296370453 395160604 493950755 592740906 889111359 987901510 1185481812 1481852265 1778222718 1975803020 2963704530 3556445436 4445556795 5927409060 8891113590 17782227180 1179455612789 2358911225578 3538366838367 4717822451156 5897278063945 7076733676734 10615100515101 11794556127890 14153467353468 17691834191835 21230201030202 23589112255780 35383668383670 42460402060404 53075502575505 70767336767340 106151005151010 212302010302020