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131001115177 is a prime number
BaseRepresentation
bin111101000000001000…
…1100110001000101001
3110112010200201011110201
41322000101212020221
54121242241141202
6140103040312201
712315221051332
oct1720021461051
9415120634421
10131001115177
1150614794849
1221480012661
13c47941248a
1464aa427289
15361abb5387
hex1e80466229

131001115177 has 2 divisors, whose sum is σ = 131001115178. Its totient is φ = 131001115176.

The previous prime is 131001115163. The next prime is 131001115229. The reversal of 131001115177 is 771511100131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117641454121 + 13359661056 = 342989^2 + 115584^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001115177 - 227 = 130866897449 is a prime.

It is a super-2 number, since 2×1310011151772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131001185177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65500557588 + 65500557589.

It is an arithmetic number, because the mean of its divisors is an integer number (65500557589).

Almost surely, 2131001115177 is an apocalyptic number.

It is an amenable number.

131001115177 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001115177 is an equidigital number, since it uses as much as digits as its factorization.

131001115177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 28.

The spelling of 131001115177 in words is "one hundred thirty-one billion, one million, one hundred fifteen thousand, one hundred seventy-seven".