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406103156801 is a prime number
BaseRepresentation
bin1011110100011011010…
…00100110100001000001
31102211020000201212012022
411322031220212201001
523123144402004201
6510321120011225
741224420610036
oct5721550464101
91384200655168
10406103156801
11147255710441
1266857160b15
132c3abbb4724
141592698538d
15a86c60b41b
hex5e8da26841

406103156801 has 2 divisors, whose sum is σ = 406103156802. Its totient is φ = 406103156800.

The previous prime is 406103156749. The next prime is 406103156863. The reversal of 406103156801 is 108651301604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362693017600 + 43410139201 = 602240^2 + 208351^2 .

It is a cyclic number.

It is not a de Polignac number, because 406103156801 - 218 = 406102894657 is a prime.

It is not a weakly prime, because it can be changed into another prime (406103656801) 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, 203051578400 + 203051578401.

It is an arithmetic number, because the mean of its divisors is an integer number (203051578401).

Almost surely, 2406103156801 is an apocalyptic number.

It is an amenable number.

406103156801 is a deficient number, since it is larger than the sum of its proper divisors (1).

406103156801 is an equidigital number, since it uses as much as digits as its factorization.

406103156801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 406103156801 in words is "four hundred six billion, one hundred three million, one hundred fifty-six thousand, eight hundred one".