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131445310041 = 3233894309541
BaseRepresentation
bin111101001101011000…
…0000100001001011001
3110120021122112121021100
41322122300010021121
54123144444410131
6140215105102013
712332223462153
oct1723260041131
9416248477240
10131445310041
11508224a5a41
1221584927909
13c51a458a86
14650d413ad3
153644ba87e6
hex1e9ac04259

131445310041 has 12 divisors (see below), whose sum is σ = 189921515940. Its totient is φ = 87604329120.

The previous prime is 131445310027. The next prime is 131445310067. The reversal of 131445310041 is 140013544131.

It can be written as a sum of positive squares in 2 ways, for example, as 71518270041 + 59927040000 = 267429^2 + 244800^2 .

It is not a de Polignac number, because 131445310041 - 213 = 131445301849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131445309987 and 131445310014.

It is not an unprimeable number, because it can be changed into a prime (131445310001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2124270 + ... + 2185271.

It is an arithmetic number, because the mean of its divisors is an integer number (15826792995).

Almost surely, 2131445310041 is an apocalyptic number.

It is an amenable number.

131445310041 is a deficient number, since it is larger than the sum of its proper divisors (58476205899).

131445310041 is a wasteful number, since it uses less digits than its factorization.

131445310041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312936 (or 4312933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131445310041 its reverse (140013544131), we get a palindrome (271458854172).

The spelling of 131445310041 in words is "one hundred thirty-one billion, four hundred forty-five million, three hundred ten thousand, forty-one".

Divisors: 1 3 9 3389 10167 30501 4309541 12928623 38785869 14605034449 43815103347 131445310041