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131331100211 = 19531091577621
BaseRepresentation
bin111101001001111110…
…0011000111000110011
3110112222200122010211122
41322103330120320303
54122431230201321
6140155505132455
712326335634663
oct1722374307063
9415880563748
10131331100211
1150773a89453
122155262a12b
13c4cc8ab4ac
1464dc1a41a3
153639b488ab
hex1e93f18e33

131331100211 has 32 divisors (see below), whose sum is σ = 143067988800. Its totient is φ = 120165327360.

The previous prime is 131331100157. The next prime is 131331100231. The reversal of 131331100211 is 112001133131.

It is a cyclic number.

It is not a de Polignac number, because 131331100211 - 234 = 114151231027 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131331100211.

It is not an unprimeable number, because it can be changed into a prime (131331100231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17228981 + ... + 17236601.

It is an arithmetic number, because the mean of its divisors is an integer number (4470874650).

Almost surely, 2131331100211 is an apocalyptic number.

131331100211 is a deficient number, since it is larger than the sum of its proper divisors (11736888589).

131331100211 is a wasteful number, since it uses less digits than its factorization.

131331100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131331100211 its reverse (112001133131), we get a palindrome (243332233342).

The spelling of 131331100211 in words is "one hundred thirty-one billion, three hundred thirty-one million, one hundred thousand, two hundred eleven".

Divisors: 1 19 53 109 157 1007 2071 2983 5777 7621 8321 17113 109763 144799 158099 325147 403913 830689 906989 1196497 7674347 15783091 17232791 22733443 44026517 63414341 130418173 836503823 1204872479 2477945287 6912163169 131331100211