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131106445 = 5181317457
BaseRepresentation
bin1111101000010…
…00011010001101
3100010200220020021
413310020122031
5232030401240
621002022141
73151246351
oct764103215
9303626207
10131106445
1168008238
1237aa7951
13212152a2
14135ab461
15b79b54a
hex7d0868d

131106445 has 16 divisors (see below), whose sum is σ = 159043248. Its totient is φ = 103749120.

The previous prime is 131106439. The next prime is 131106473. The reversal of 131106445 is 544601131.

It can be written as a sum of positive squares in 8 ways, for example, as 27941796 + 103164649 = 5286^2 + 10157^2 .

It is not a de Polignac number, because 131106445 - 25 = 131106413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286657 + ... + 287113.

It is an arithmetic number, because the mean of its divisors is an integer number (9940203).

Almost surely, 2131106445 is an apocalyptic number.

It is an amenable number.

131106445 is a deficient number, since it is larger than the sum of its proper divisors (27936803).

131106445 is a wasteful number, since it uses less digits than its factorization.

131106445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 131106445 is about 11450.1722694464. The cubic root of 131106445 is about 508.0128298266.

Adding to 131106445 its reverse (544601131), we get a palindrome (675707576).

The spelling of 131106445 in words is "one hundred thirty-one million, one hundred six thousand, four hundred forty-five".

Divisors: 1 5 181 317 457 905 1585 2285 57377 82717 144869 286885 413585 724345 26221289 131106445