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131145465 = 35116711863
BaseRepresentation
bin1111101000100…
…01111011111001
3100010202212202110
413310101323321
5232033123330
621002522533
73151501203
oct764217371
9303685673
10131145465
1168034590
1237b06449
1321229c89
14135bb773
15b7a7db0
hex7d11ef9

131145465 has 32 divisors (see below), whose sum is σ = 232344576. Its totient is φ = 62631360.

The previous prime is 131145439. The next prime is 131145473. The reversal of 131145465 is 564541131.

It is a happy number.

It is not a de Polignac number, because 131145465 - 212 = 131141369 is a prime.

It is an unprimeable number.

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, 5124 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (7260768).

Almost surely, 2131145465 is an apocalyptic number.

131145465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131145465 is a deficient number, since it is larger than the sum of its proper divisors (101199111).

131145465 is a wasteful number, since it uses less digits than its factorization.

131145465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11949.

The product of its digits is 7200, while the sum is 30.

The square root of 131145465 is about 11451.8760471811. The cubic root of 131145465 is about 508.0632232160.

Adding to 131145465 its reverse (564541131), we get a palindrome (695686596).

The spelling of 131145465 in words is "one hundred thirty-one million, one hundred forty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 67 165 201 335 737 1005 2211 3685 11055 11863 35589 59315 130493 177945 391479 652465 794821 1957395 2384463 3974105 8743031 11922315 26229093 43715155 131145465