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131001111176809 is a prime number
BaseRepresentation
bin11101110010010100010010…
…101100100110011001101001
3122011211120202200022100021111
4131302110102230212121221
5114132310233430124214
61142341025112510321
736410342441254156
oct3562242254463151
9564746680270244
10131001111176809
1138817294081765
1212838a870ab3a1
135813475b15aa3
14244c6b801322d
15102298d6525c4
hex772512b26669

131001111176809 has 2 divisors, whose sum is σ = 131001111176810. Its totient is φ = 131001111176808.

The previous prime is 131001111176791. The next prime is 131001111176917. The reversal of 131001111176809 is 908671111100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96142005871209 + 34859105305600 = 9805203^2 + 5904160^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001111176809 - 29 = 131001111176297 is a prime.

It is a super-2 number, since 2×1310011111768092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131001111176009) by changing a digit.

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 as a sum of consecutive naturals, namely, 65500555588404 + 65500555588405.

It is an arithmetic number, because the mean of its divisors is an integer number (65500555588405).

Almost surely, 2131001111176809 is an apocalyptic number.

It is an amenable number.

131001111176809 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001111176809 is an equidigital number, since it uses as much as digits as its factorization.

131001111176809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 40.

The spelling of 131001111176809 in words is "one hundred thirty-one trillion, one billion, one hundred eleven million, one hundred seventy-six thousand, eight hundred nine".