Search a number
-
+
204131103301 = 1985312595243
BaseRepresentation
bin1011111000011100101…
…0010111001001000101
3201111220020200110212101
42332013022113021011
511321030030301201
6233435421552101
720514362514646
oct2760712271105
9644806613771
10204131103301
1179631760264
123368b115631
13163321545b8
149c46a016cd
15549ae94d01
hex2f87297245

204131103301 has 8 divisors (see below), whose sum is σ = 215126767520. Its totient is φ = 193160631312.

The previous prime is 204131103287. The next prime is 204131103329. The reversal of 204131103301 is 103301131402.

204131103301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 204131103301 - 223 = 204122714693 is a prime.

It is a super-3 number, since 3×2041311033013 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204131103101) 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 7 ways as a sum of consecutive naturals, for example, 6281415 + ... + 6313828.

It is an arithmetic number, because the mean of its divisors is an integer number (26890845940).

Almost surely, 2204131103301 is an apocalyptic number.

It is an amenable number.

204131103301 is a deficient number, since it is larger than the sum of its proper divisors (10995664219).

204131103301 is a wasteful number, since it uses less digits than its factorization.

204131103301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12596115.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 204131103301 its reverse (103301131402), we get a palindrome (307432234703).

The spelling of 204131103301 in words is "two hundred four billion, one hundred thirty-one million, one hundred three thousand, three hundred one".

Divisors: 1 19 853 16207 12595243 239309617 10743742279 204131103301