Search a number
-
+
201222312133212 = 22332087892750147
BaseRepresentation
bin101101110000001010111000…
…011011111000001001011100
3222101110122221220112222022000
4231300022320123320021130
5202333311243401230322
61551544130512322300
760245555323111566
oct5560127033701134
9871418856488260
10201222312133212
115912a9a3387357
121a69a295243390
13883824b284176
1437992d7540336
15183e3c29b23ac
hexb702b86f825c

201222312133212 has 48 divisors (see below), whose sum is σ = 521937446526720. Its totient is φ = 67041964964016.

The previous prime is 201222312133151. The next prime is 201222312133217. The reversal of 201222312133212 is 212331213222102.

201222312133212 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 2 + 2 + 312 + 1 + 332 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201222312133217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446149678 + ... + 446600469.

It is an arithmetic number, because the mean of its divisors is an integer number (10873696802640).

Almost surely, 2201222312133212 is an apocalyptic number.

It is an amenable number.

201222312133212 is an abundant number, since it is smaller than the sum of its proper divisors (320715134393508).

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

201222312133212 is a wasteful number, since it uses less digits than its factorization.

201222312133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892752247 (or 892752239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201222312133212 its reverse (212331213222102), we get a palindrome (413553525355314).

The spelling of 201222312133212 in words is "two hundred one trillion, two hundred twenty-two billion, three hundred twelve million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2087 4174 6261 8348 12522 18783 25044 37566 56349 75132 112698 225396 892750147 1785500294 2678250441 3571000588 5356500882 8034751323 10713001764 16069502646 24104253969 32139005292 48208507938 96417015876 1863169556789 3726339113578 5589508670367 7452678227156 11179017340734 16768526011101 22358034681468 33537052022202 50305578033303 67074104044404 100611156066606 201222312133212