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201121121201 = 71113200920201
BaseRepresentation
bin1011101101001111000…
…0001100001110110001
3201020010110212112122212
42323103300030032301
511243344001334301
6232221015341505
720346653215640
oct2732360141661
9636113775585
10201121121201
11783276a2150
1232b8b081895
1315c726866c0
149a3cd5b357
155371acd4bb
hex2ed3c0c3b1

201121121201 has 16 divisors (see below), whose sum is σ = 270036751488. Its totient is φ = 144662544000.

The previous prime is 201121121189. The next prime is 201121121293. The reversal of 201121121201 is 102121121102.

201121121201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201121121201 - 210 = 201121120177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201121121701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100459100 + ... + 100461101.

It is an arithmetic number, because the mean of its divisors is an integer number (16877296968).

Almost surely, 2201121121201 is an apocalyptic number.

It is an amenable number.

201121121201 is a deficient number, since it is larger than the sum of its proper divisors (68915630287).

201121121201 is a wasteful number, since it uses less digits than its factorization.

201121121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200920232.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201121121201 its reverse (102121121102), we get a palindrome (303242242303).

Subtracting from 201121121201 its reverse (102121121102), we obtain a palindrome (99000000099).

The spelling of 201121121201 in words is "two hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 7 11 13 77 91 143 1001 200920201 1406441407 2210122211 2611962613 15470855477 18283738291 28731588743 201121121201