Search a number
-
+
220010012122212 = 2232131812597275489
BaseRepresentation
bin110010000001100100010010…
…100111101001110001100100
31001211222202022000200001220100
4302001210102213221301210
5212314121001100402322
62055531112042104100
764225125125100204
oct6201442247516144
91054882260601810
10220010012122212
11641137a4214a54
12208134b7aab030
13959bb16915890
143c4878187c404
151a67e72dc9dac
hexc819129e9c64

220010012122212 has 72 divisors (see below), whose sum is σ = 602225073315320. Its totient is φ = 67321380648960.

The previous prime is 220010012122183. The next prime is 220010012122399. The reversal of 220010012122212 is 212221210010022.

It is a happy number.

220010012122212 is a `hidden beast` number, since 220 + 0 + 10 + 0 + 1 + 212 + 221 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1141493796 + 220008870628416 = 33786^2 + 14832696^2 .

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 23 ways as a sum of consecutive naturals, for example, 1298553037 + ... + 1298722452.

Almost surely, 2220010012122212 is an apocalyptic number.

It is an amenable number.

220010012122212 is an abundant number, since it is smaller than the sum of its proper divisors (382215061193108).

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

220010012122212 is a wasteful number, since it uses less digits than its factorization.

220010012122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597275693 (or 2597275688 counting only the distinct ones).

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

Adding to 220010012122212 its reverse (212221210010022), we get a palindrome (432231222132234).

The spelling of 220010012122212 in words is "two hundred twenty trillion, ten billion, twelve million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 724 1086 1629 2172 2353 3258 4706 6516 7059 9412 14118 21177 28236 42354 84708 2597275489 5194550978 7791826467 10389101956 15583652934 23375479401 31167305868 33764581357 46750958802 67529162714 93501917604 101293744071 135058325428 202587488142 303881232213 405174976284 470106863509 607762464426 940213727018 1215524928852 1410320590527 1880427454036 2820641181054 4230961771581 5641282362108 6111389225617 8461923543162 12222778451234 16923847086324 18334167676851 24445556902468 36668335353702 55002503030553 73336670707404 110005006061106 220010012122212