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31144444033 is a prime number
BaseRepresentation
bin11101000000010110…
…101000000010000001
32222101111202200110011
4131000112220002001
51002240434202113
622150233304521
72151534256243
oct350026500201
988344680404
1031144444033
111223225484a
126052265141
132c24507311
141716436093
15c2433d63d
hex7405a8081

31144444033 has 2 divisors, whose sum is σ = 31144444034. Its totient is φ = 31144444032.

The previous prime is 31144444013. The next prime is 31144444039. The reversal of 31144444033 is 33044444113.

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., 28383151729 + 2761292304 = 168473^2 + 52548^2 .

It is a cyclic number.

It is not a de Polignac number, because 31144444033 - 29 = 31144443521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31144443986 and 31144444004.

It is not a weakly prime, because it can be changed into another prime (31144444039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15572222016 + 15572222017.

It is an arithmetic number, because the mean of its divisors is an integer number (15572222017).

Almost surely, 231144444033 is an apocalyptic number.

It is an amenable number.

31144444033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31144444033 is an equidigital number, since it uses as much as digits as its factorization.

31144444033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 31144444033 its reverse (33044444113), we get a palindrome (64188888146).

The spelling of 31144444033 in words is "thirty-one billion, one hundred forty-four million, four hundred forty-four thousand, thirty-three".