Search a number
-
+
13202220121 = 313353119489
BaseRepresentation
bin11000100101110100…
…11110010001011001
31021002002022021022121
430102322132101121
5204014232020441
610022013221241
7645110006446
oct142272362131
937062267277
1013202220121
115665344422
122685491821
13132525568c
148d35689cd
15524098dd1
hex312e9e459

13202220121 has 8 divisors (see below), whose sum is σ = 13282030440. Its totient is φ = 13122650112.

The previous prime is 13202220079. The next prime is 13202220127. The reversal of 13202220121 is 12102220231.

It is a happy number.

13202220121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 419430400 + 12782789721 = 20480^2 + 113061^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13202220121 - 219 = 13201695833 is a prime.

It is a super-2 number, since 2×132022201212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13202220095 and 13202220104.

It is not an unprimeable number, because it can be changed into a prime (13202220127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50745 + ... + 170233.

It is an arithmetic number, because the mean of its divisors is an integer number (1660253805).

Almost surely, 213202220121 is an apocalyptic number.

It is an amenable number.

13202220121 is a deficient number, since it is larger than the sum of its proper divisors (79810319).

13202220121 is a wasteful number, since it uses less digits than its factorization.

13202220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120155.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13202220121 its reverse (12102220231), we get a palindrome (25304440352).

The spelling of 13202220121 in words is "thirteen billion, two hundred two million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 313 353 110489 119489 37400057 42179617 13202220121