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1331112401 is a prime number
BaseRepresentation
bin100111101010111…
…0010100111010001
310102202201111221022
41033111302213101
510211231044101
6340030205225
744662161113
oct11725624721
93382644838
101331112401
116234184a3
12311953815
13182a0c398
14c8add3b3
157bcd8a1b
hex4f5729d1

1331112401 has 2 divisors, whose sum is σ = 1331112402. Its totient is φ = 1331112400.

The previous prime is 1331112371. The next prime is 1331112403. The reversal of 1331112401 is 1042111331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1172377600 + 158734801 = 34240^2 + 12599^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331112401 - 222 = 1326918097 is a prime.

Together with 1331112403, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331112401.

It is not a weakly prime, because it can be changed into another prime (1331112403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665556200 + 665556201.

It is an arithmetic number, because the mean of its divisors is an integer number (665556201).

Almost surely, 21331112401 is an apocalyptic number.

It is an amenable number.

1331112401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331112401 is an equidigital number, since it uses as much as digits as its factorization.

1331112401 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 17.

The square root of 1331112401 is about 36484.4131239630. The cubic root of 1331112401 is about 1100.0309635912.

Adding to 1331112401 its reverse (1042111331), we get a palindrome (2373223732).

The spelling of 1331112401 in words is "one billion, three hundred thirty-one million, one hundred twelve thousand, four hundred one".