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131300112066 = 231931151246049
BaseRepresentation
bin111101001001000011…
…0001011011011000010
3110112220112022210002120
41322102012023123002
54122400312041231
6140152441025110
712325511352354
oct1722206133302
9415815283076
10131300112066
1150758543612
1221544185196
13c4c634b806
1464d80190d4
153637076d96
hex1e9218b6c2

131300112066 has 64 divisors (see below), whose sum is σ = 287228928000. Its totient is φ = 39859776000.

The previous prime is 131300111989. The next prime is 131300112067. The reversal of 131300112066 is 660211003131.

It is not an unprimeable number, because it can be changed into a prime (131300112067) 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, 410610 + ... + 656658.

It is an arithmetic number, because the mean of its divisors is an integer number (4487952000).

Almost surely, 2131300112066 is an apocalyptic number.

131300112066 is an abundant number, since it is smaller than the sum of its proper divisors (155928815934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131300112066 is a wasteful number, since it uses less digits than its factorization.

131300112066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246255.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131300112066 its reverse (660211003131), we get a palindrome (791511115197).

The spelling of 131300112066 in words is "one hundred thirty-one billion, three hundred million, one hundred twelve thousand, sixty-six".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 151 186 302 453 589 906 1178 1767 2869 3534 4681 5738 8607 9362 14043 17214 28086 88939 177878 246049 266817 492098 533634 738147 1476294 4674931 7627519 9349862 14024793 15255038 22882557 28049586 37153399 45765114 74306798 111460197 144922861 222920394 289845722 434768583 705914581 869537166 1151755369 1411829162 2117743743 2303510738 3455266107 4235487486 6910532214 21883352011 43766704022 65650056033 131300112066