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131249083238 = 27132273176867
BaseRepresentation
bin111101000111100001…
…1100001001101100110
3110112202222022020200222
41322033003201031212
54122244231130423
6140143415204342
712324321541310
oct1721703411546
9415688266628
10131249083238
115073175a929
122152b0766b2
13c4b88c3040
1464d13347b0
1536328473c8
hex1e8f0e1366

131249083238 has 32 divisors (see below), whose sum is σ = 243373503744. Its totient is φ = 51693963552.

The previous prime is 131249083237. The next prime is 131249083283. The reversal of 131249083238 is 832380942131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131249083237) 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, 1547120 + ... + 1629747.

It is an arithmetic number, because the mean of its divisors is an integer number (7605421992).

Almost surely, 2131249083238 is an apocalyptic number.

131249083238 is a deficient number, since it is larger than the sum of its proper divisors (112124420506).

131249083238 is a wasteful number, since it uses less digits than its factorization.

131249083238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177116.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 131249083238 in words is "one hundred thirty-one billion, two hundred forty-nine million, eighty-three thousand, two hundred thirty-eight".

Divisors: 1 2 7 13 14 26 91 182 227 454 1589 2951 3178 5902 20657 41314 3176867 6353734 22238069 41299271 44476138 82598542 289094897 578189794 721148809 1442297618 5048041663 9374934517 10096083326 18749869034 65624541619 131249083238