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131403330425 = 5229421430513
BaseRepresentation
bin111101001100000111…
…1111011001101111001
3110120011201112211001202
41322120033323031321
54123103223033200
6140211005223545
712331203610463
oct1723017731571
9416151484052
10131403330425
1150800833044
1221572861bb5
13c51184b173
146507a07133
1536411651d5
hex1e983fb379

131403330425 has 24 divisors (see below), whose sum is σ = 168959524440. Its totient is φ = 101256422400.

The previous prime is 131403330391. The next prime is 131403330433. The reversal of 131403330425 is 524033304131.

It can be written as a sum of positive squares in 12 ways, for example, as 47565865216 + 83837465209 = 218096^2 + 289547^2 .

It is not a de Polignac number, because 131403330425 - 26 = 131403330361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89969 + ... + 520481.

It is an arithmetic number, because the mean of its divisors is an integer number (7039980185).

Almost surely, 2131403330425 is an apocalyptic number.

It is an amenable number.

131403330425 is a deficient number, since it is larger than the sum of its proper divisors (37556194015).

131403330425 is a wasteful number, since it uses less digits than its factorization.

131403330425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430973 (or 430968 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 131403330425 its reverse (524033304131), we get a palindrome (655436634556).

The spelling of 131403330425 in words is "one hundred thirty-one billion, four hundred three million, three hundred thirty thousand, four hundred twenty-five".

Divisors: 1 5 25 29 145 421 725 2105 10525 12209 61045 305225 430513 2152565 10762825 12484877 62424385 181245973 312121925 906229865 4531149325 5256133217 26280666085 131403330425