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131132122233 = 37171786320563
BaseRepresentation
bin111101000100000010…
…1010110010001111001
3110112110211020000100220
41322020011112101321
54122024310402413
6140124040250253
712321401435160
oct1721005262171
9415424200326
10131132122233
1150681734342
12214b7a70989
13c49a5c1448
1464bd9aa3d7
153627442223
hex1e88156479

131132122233 has 32 divisors (see below), whose sum is σ = 211596650496. Its totient is φ = 70517461248.

The previous prime is 131132122223. The next prime is 131132122241. The reversal of 131132122233 is 332221231131.

It is not a de Polignac number, because 131132122233 - 25 = 131132122201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131132122223) 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 31 ways as a sum of consecutive naturals, for example, 6366810 + ... + 6387372.

It is an arithmetic number, because the mean of its divisors is an integer number (6612395328).

Almost surely, 2131132122233 is an apocalyptic number.

It is an amenable number.

131132122233 is a deficient number, since it is larger than the sum of its proper divisors (80464528263).

131132122233 is a wasteful number, since it uses less digits than its factorization.

131132122233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38453.

The product of its digits is 1296, while the sum is 24.

Adding to 131132122233 its reverse (332221231131), we get a palindrome (463353353364).

The spelling of 131132122233 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 7 17 21 51 119 357 17863 20563 53589 61689 125041 143941 303671 349571 375123 431823 911013 1048713 2125697 2446997 6377091 7340991 367316869 1101950607 2571218083 6244386773 7713654249 18733160319 43710707411 131132122233