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20401010801 is a prime number
BaseRepresentation
bin10010111111111111…
…101011100001110001
31221122210002201122122
4102333333223201301
5313240124321201
613212212244025
71321361505413
oct227777534161
957583081578
1020401010801
118719925406
123b54310615
131c017b1332
14db76709b3
157e607de1b
hex4bffeb871

20401010801 has 2 divisors, whose sum is σ = 20401010802. Its totient is φ = 20401010800.

The previous prime is 20401010759. The next prime is 20401010821. The reversal of 20401010801 is 10801010402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18748181776 + 1652829025 = 136924^2 + 40655^2 .

It is a cyclic number.

It is not a de Polignac number, because 20401010801 - 234 = 3221141617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20401010801.

It is not a weakly prime, because it can be changed into another prime (20401010821) 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, 10200505400 + 10200505401.

It is an arithmetic number, because the mean of its divisors is an integer number (10200505401).

Almost surely, 220401010801 is an apocalyptic number.

It is an amenable number.

20401010801 is a deficient number, since it is larger than the sum of its proper divisors (1).

20401010801 is an equidigital number, since it uses as much as digits as its factorization.

20401010801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 20401010801 in words is "twenty billion, four hundred one million, ten thousand, eight hundred one".