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131021332211 = 7211243082249
BaseRepresentation
bin111101000000101111…
…0101101111011110011
3110112012002202022000202
41322001132231323303
54121312430112321
6140105041505415
712315554643200
oct1720136557363
9415162668022
10131021332211
1150625143140
122148694226b
13c480670613
1464acdaaca7
15361c85a70b
hex1e817adef3

131021332211 has 12 divisors (see below), whose sum is σ = 166268259000. Its totient is φ = 102094544160.

The previous prime is 131021332147. The next prime is 131021332223. The reversal of 131021332211 is 112233120131.

It is a happy number.

It is not a de Polignac number, because 131021332211 - 26 = 131021332147 is a prime.

It is a super-2 number, since 2×1310213322112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131021332411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121540586 + ... + 121541663.

It is an arithmetic number, because the mean of its divisors is an integer number (13855688250).

Almost surely, 2131021332211 is an apocalyptic number.

131021332211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131021332211 is a deficient number, since it is larger than the sum of its proper divisors (35246926789).

131021332211 is a wasteful number, since it uses less digits than its factorization.

131021332211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243082274 (or 243082267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131021332211 its reverse (112233120131), we get a palindrome (243254452342).

The spelling of 131021332211 in words is "one hundred thirty-one billion, twenty-one million, three hundred thirty-two thousand, two hundred eleven".

Divisors: 1 7 11 49 77 539 243082249 1701575743 2673904739 11911030201 18717333173 131021332211