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131012224203305 = 5731314772730041
BaseRepresentation
bin11101110010011110101001…
…000101011011101000101001
3122011212122110011102120201102
4131302132221011123220221
5114133001013344001210
61142350103535331145
736411215022365264
oct3562365105335051
9564778404376642
10131012224203305
1138820a77098a85
121283b068980ab5
135814527295203
14244d04dd05cdb
151022dde0baea5
hex7727a915ba29

131012224203305 has 16 divisors (see below), whose sum is σ = 159369565161744. Its totient is φ = 103373204843520.

The previous prime is 131012224203271. The next prime is 131012224203307. The reversal of 131012224203305 is 503302422210131.

It can be written as a sum of positive squares in 8 ways, for example, as 25776304699369 + 105235919503936 = 5077037^2 + 10258456^2 .

It is not a de Polignac number, because 131012224203305 - 246 = 60643480025641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131012224203307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46624085 + ... + 49354125.

It is an arithmetic number, because the mean of its divisors is an integer number (9960597822609).

Almost surely, 2131012224203305 is an apocalyptic number.

It is an amenable number.

131012224203305 is a deficient number, since it is larger than the sum of its proper divisors (28357340958439).

131012224203305 is a wasteful number, since it uses less digits than its factorization.

131012224203305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861596.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 131012224203305 its reverse (503302422210131), we get a palindrome (634314646413436).

The spelling of 131012224203305 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred three thousand, three hundred five".

Divisors: 1 5 73 365 131477 657385 2730041 9597821 13650205 47989105 199292993 996464965 358937600557 1794688002785 26202444840661 131012224203305