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202001022000211 = 7211813490660319
BaseRepresentation
bin101101111011100000000111…
…001010010001110001010011
3222111020002221112112220021011
4231323200013022101301103
5202434041043113001321
61553341553255311351
760356043430553200
oct5573400712216123
9874202845486234
10202001022000211
1159400174844005
121a7a519967b557
1388937cb4940b5
1437c4c8a10aca7
15185479bb46ae1
hexb7b807291c53

202001022000211 has 12 divisors (see below), whose sum is σ = 235179748399680. Its totient is φ = 172997125360080.

The previous prime is 202001022000199. The next prime is 202001022000241. The reversal of 202001022000211 is 112000220100202.

It is a happy number.

It is not a de Polignac number, because 202001022000211 - 211 = 202001021998163 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202001022000191 and 202001022000200.

It is not an unprimeable number, because it can be changed into a prime (202001022000241) 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 11 ways as a sum of consecutive naturals, for example, 1745272291 + ... + 1745388028.

It is an arithmetic number, because the mean of its divisors is an integer number (19598312366640).

Almost surely, 2202001022000211 is an apocalyptic number.

202001022000211 is a deficient number, since it is larger than the sum of its proper divisors (33178726399469).

202001022000211 is a wasteful number, since it uses less digits than its factorization.

202001022000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490661514 (or 3490661507 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202001022000211 its reverse (112000220100202), we get a palindrome (314001242100413).

The spelling of 202001022000211 in words is "two hundred two trillion, one billion, twenty-two million, two hundred eleven", and thus it is an aban number.

Divisors: 1 7 49 1181 8267 57869 3490660319 24434622233 171042355631 4122469836739 28857288857173 202001022000211