Search a number
-
+
201001211011212 = 22323757962041291
BaseRepresentation
bin101101101100111100111101…
…110010000010000010001100
3222100200112020222210020010120
4231230330331302002002030
5202321200440004324322
61551254403120104540
760223600246432503
oct5554747562020214
9870615228706116
10201001211011212
1159055153585957
121a66346aa65150
138820443405ab1
14378c720c2583a
151838781cb8a5c
hexb6cf3dc8208c

201001211011212 has 48 divisors (see below), whose sum is σ = 490040745153792. Its totient is φ = 64002682941120.

The previous prime is 201001211011187. The next prime is 201001211011231. The reversal of 201001211011212 is 212110112100102.

It is a happy number.

It is a super-3 number, since 3×2010012110112123 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201001211011191 and 201001211011200.

It is an unprimeable number.

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, 480811714 + ... + 481229577.

It is an arithmetic number, because the mean of its divisors is an integer number (10209182190704).

Almost surely, 2201001211011212 is an apocalyptic number.

It is an amenable number.

201001211011212 is an abundant number, since it is smaller than the sum of its proper divisors (289039534142580).

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

201001211011212 is a wasteful number, since it uses less digits than its factorization.

201001211011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962042078 (or 962042076 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201001211011212 its reverse (212110112100102), we get a palindrome (413111323111314).

The spelling of 201001211011212 in words is "two hundred one trillion, one billion, two hundred eleven million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 757 1514 2271 3028 4542 9084 17411 34822 52233 69644 104466 208932 962041291 1924082582 2886123873 3848165164 5772247746 11544495492 22126949693 44253899386 66380849079 88507798772 132761698158 265523396316 728265257287 1456530514574 2184795771861 2913061029148 4369591543722 8739183087444 16750100917601 33500201835202 50250302752803 67000403670404 100500605505606 201001211011212