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131105709 = 3471072161
BaseRepresentation
bin1111101000010…
…00001110101101
3100010200212020000
413310020032231
5232030340314
621002014513
73151244250
oct764101655
9303625200
10131105709
1168007729
1237aa7439
1321214b57
14135ab097
15b79b209
hex7d083ad

131105709 has 40 divisors (see below), whose sum is σ = 226024128. Its totient is φ = 74183040.

The previous prime is 131105707. The next prime is 131105743. The reversal of 131105709 is 907501131.

It is a happy number.

It is not a de Polignac number, because 131105709 - 21 = 131105707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131105707) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59589 + ... + 61749.

Almost surely, 2131105709 is an apocalyptic number.

It is an amenable number.

131105709 is a deficient number, since it is larger than the sum of its proper divisors (94918419).

131105709 is a wasteful number, since it uses less digits than its factorization.

131105709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 131105709 is about 11450.1401301469. The cubic root of 131105709 is about 508.0118792043.

The spelling of 131105709 in words is "one hundred thirty-one million, one hundred five thousand, seven hundred nine".

Divisors: 1 3 7 9 21 27 63 81 107 189 321 567 749 963 2161 2247 2889 6483 6741 8667 15127 19449 20223 45381 58347 60669 136143 175041 231227 408429 693681 1225287 1618589 2081043 4855767 6243129 14567301 18729387 43701903 131105709