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131013202211 = 1036418212417
BaseRepresentation
bin111101000000011111…
…1101101000100100011
3110112011112110020202122
41322000333231010203
54121303334432321
6140104151334455
712315425562443
oct1720077550443
9415145406678
10131013202211
115062059aa31
122148408142b
13c47ba84c78
1464abc92123
15361bca18ab
hex1e80fed123

131013202211 has 16 divisors (see below), whose sum is σ = 132707809728. Its totient is φ = 129327513600.

The previous prime is 131013202153. The next prime is 131013202219. The reversal of 131013202211 is 112202310131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131013202211 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 131013202211.

It is not an unprimeable number, because it can be changed into a prime (131013202219) 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, 54203675 + ... + 54206091.

It is an arithmetic number, because the mean of its divisors is an integer number (8294238108).

Almost surely, 2131013202211 is an apocalyptic number.

131013202211 is a deficient number, since it is larger than the sum of its proper divisors (1694607517).

131013202211 is a wasteful number, since it uses less digits than its factorization.

131013202211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131013202211 its reverse (112202310131), we get a palindrome (243215512342).

The spelling of 131013202211 in words is "one hundred thirty-one billion, thirteen million, two hundred two thousand, two hundred eleven".

Divisors: 1 103 641 821 2417 66023 84563 248951 526261 1549297 1984357 54204883 159577591 204388771 1271972837 131013202211