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31998000029 is a prime number
BaseRepresentation
bin11101110011001110…
…101011101110011101
310001120222212211011012
4131303032223232131
51011012442000104
622411044105005
72211640340552
oct356316535635
9101528784135
1031998000029
1112630045026
126250095165
13302c2bc038
141797942a29
15c74243d6e
hex7733abb9d

31998000029 has 2 divisors, whose sum is σ = 31998000030. Its totient is φ = 31998000028.

The previous prime is 31998000011. The next prime is 31998000031. The reversal of 31998000029 is 92000089913.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31994476900 + 3523129 = 178870^2 + 1877^2 .

It is a cyclic number.

It is not a de Polignac number, because 31998000029 - 232 = 27703032733 is a prime.

It is a Sophie Germain prime.

Together with 31998000031, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31998000029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31998000829) 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, 15999000014 + 15999000015.

It is an arithmetic number, because the mean of its divisors is an integer number (15999000015).

Almost surely, 231998000029 is an apocalyptic number.

It is an amenable number.

31998000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

31998000029 is an equidigital number, since it uses as much as digits as its factorization.

31998000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 31998000029 in words is "thirty-one billion, nine hundred ninety-eight million, twenty-nine", and thus it is an aban number.