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1331101181 is a prime number
BaseRepresentation
bin100111101010110…
…1111110111111101
310102202200221112202
41033111233313331
510211230214211
6340030041245
744662113314
oct11725576775
93382627482
101331101181
11623410023
12311949225
13182a07247
14c8ad927b
157bcd553b
hex4f56fdfd

1331101181 has 2 divisors, whose sum is σ = 1331101182. Its totient is φ = 1331101180.

The previous prime is 1331101171. The next prime is 1331101217. The reversal of 1331101181 is 1811011331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1320668281 + 10432900 = 36341^2 + 3230^2 .

It is an emirp because it is prime and its reverse (1811011331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331101181 - 26 = 1331101117 is a prime.

It is a super-2 number, since 2×13311011812 = 3543660708119189522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331101151) 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, 665550590 + 665550591.

It is an arithmetic number, because the mean of its divisors is an integer number (665550591).

Almost surely, 21331101181 is an apocalyptic number.

It is an amenable number.

1331101181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331101181 is an equidigital number, since it uses as much as digits as its factorization.

1331101181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 1331101181 is about 36484.2593593456. The cubic root of 1331101181 is about 1100.0278728474.

The spelling of 1331101181 in words is "one billion, three hundred thirty-one million, one hundred one thousand, one hundred eighty-one".