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1381131838181 is a prime number
BaseRepresentation
bin10100000110010001110…
…111110110001011100101
311220000221110012212022202
4110012101313312023211
5140112024222310211
62534252212304245
7201532506631634
oct24062167661345
94800843185282
101381131838181
11492809a0a027
121a380a312085
13a0317879794
144abc078d51b
1525dd696853b
hex14191df62e5

1381131838181 has 2 divisors, whose sum is σ = 1381131838182. Its totient is φ = 1381131838180.

The previous prime is 1381131838127. The next prime is 1381131838183. The reversal of 1381131838181 is 1818381311831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 754525025956 + 626606812225 = 868634^2 + 791585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1381131838181 is a prime.

It is a super-2 number, since 2×13811318381812 (a number of 25 digits) contains 22 as substring.

Together with 1381131838183, 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 (1381131838183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 690565919090 + 690565919091.

It is an arithmetic number, because the mean of its divisors is an integer number (690565919091).

Almost surely, 21381131838181 is an apocalyptic number.

It is an amenable number.

1381131838181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1381131838181 is an equidigital number, since it uses as much as digits as its factorization.

1381131838181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 47.

The spelling of 1381131838181 in words is "one trillion, three hundred eighty-one billion, one hundred thirty-one million, eight hundred thirty-eight thousand, one hundred eighty-one".