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31884920201 is a prime number
BaseRepresentation
bin11101101100011111…
…010100010110001001
310001022010002202210102
4131230133110112021
51010300014421301
622351524255145
72206065231011
oct355437242611
9101263082712
1031884920201
111258222a522
12621a2414b5
133011a48bb4
141786908c41
15c69358b6b
hex76c7d4589

31884920201 has 2 divisors, whose sum is σ = 31884920202. Its totient is φ = 31884920200.

The previous prime is 31884920173. The next prime is 31884920269. The reversal of 31884920201 is 10202948813.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30590359801 + 1294560400 = 174901^2 + 35980^2 .

It is an emirp because it is prime and its reverse (10202948813) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31884920201 - 222 = 31880725897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31884923201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15942460100 + 15942460101.

It is an arithmetic number, because the mean of its divisors is an integer number (15942460101).

Almost surely, 231884920201 is an apocalyptic number.

It is an amenable number.

31884920201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31884920201 is an equidigital number, since it uses as much as digits as its factorization.

31884920201 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 38.

The spelling of 31884920201 in words is "thirty-one billion, eight hundred eighty-four million, nine hundred twenty thousand, two hundred one".