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131838129677 is a prime number
BaseRepresentation
bin111101011001000101…
…0100011011000001101
3110121022000200220111202
41322302022203120031
54130001030122202
6140322100355245
712345033420002
oct1726212433015
9417260626452
10131838129677
1150a04207171
12216743a5b25
13c580955027
1465496698a9
1536693ee802
hex1eb22a360d

131838129677 has 2 divisors, whose sum is σ = 131838129678. Its totient is φ = 131838129676.

The previous prime is 131838129673. The next prime is 131838129679. The reversal of 131838129677 is 776921838131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89892632041 + 41945497636 = 299821^2 + 204806^2 .

It is a cyclic number.

It is not a de Polignac number, because 131838129677 - 22 = 131838129673 is a prime.

Together with 131838129679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131838129673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65919064838 + 65919064839.

It is an arithmetic number, because the mean of its divisors is an integer number (65919064839).

Almost surely, 2131838129677 is an apocalyptic number.

It is an amenable number.

131838129677 is a deficient number, since it is larger than the sum of its proper divisors (1).

131838129677 is an equidigital number, since it uses as much as digits as its factorization.

131838129677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3048192, while the sum is 56.

The spelling of 131838129677 in words is "one hundred thirty-one billion, eight hundred thirty-eight million, one hundred twenty-nine thousand, six hundred seventy-seven".