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131132441 = 111753101131
BaseRepresentation
bin1111101000011…
…10110000011001
3100010202012220002
413310032300121
5232032214231
621002342345
73151415216
oct764166031
9303665802
10131132441
1168025820
1237aba9b5
132122407b
14135b6b0d
15b7a40cb
hex7d0ec19

131132441 has 32 divisors (see below), whose sum is σ = 157044096. Its totient is φ = 108160000.

The previous prime is 131132437. The next prime is 131132483. The reversal of 131132441 is 144231131.

It is a cyclic number.

It is not a de Polignac number, because 131132441 - 22 = 131132437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131132411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000946 + ... + 1001076.

It is an arithmetic number, because the mean of its divisors is an integer number (4907628).

Almost surely, 2131132441 is an apocalyptic number.

131132441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131132441 is a deficient number, since it is larger than the sum of its proper divisors (25911655).

131132441 is a wasteful number, since it uses less digits than its factorization.

131132441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its digits is 288, while the sum is 20.

The square root of 131132441 is about 11451.3073926081. The cubic root of 131132441 is about 508.0464041455.

Adding to 131132441 its reverse (144231131), we get a palindrome (275363572).

The spelling of 131132441 in words is "one hundred thirty-one million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 11 17 53 101 131 187 583 901 1111 1441 1717 2227 5353 6943 9911 13231 18887 24497 58883 76373 91001 118031 145541 224927 701243 1001011 1298341 2474197 7713673 11921131 131132441