Search a number
-
+
400203142201 is a prime number
BaseRepresentation
bin1011101001011011111…
…01110101010000111001
31102020222211211001201001
411310231331311100321
523024104001022301
6503503434125001
740625256403222
oct5645575652071
91366884731631
10400203142201
111447a8271115
126568b280761
132b97b755925
1415527162249
15a624673c01
hex5d2df75439

400203142201 has 2 divisors, whose sum is σ = 400203142202. Its totient is φ = 400203142200.

The previous prime is 400203142177. The next prime is 400203142247. The reversal of 400203142201 is 102241302004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257073336576 + 143129805625 = 507024^2 + 378325^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400203142201 is a prime.

It is not a weakly prime, because it can be changed into another prime (400203142601) 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, 200101571100 + 200101571101.

It is an arithmetic number, because the mean of its divisors is an integer number (200101571101).

Almost surely, 2400203142201 is an apocalyptic number.

It is an amenable number.

400203142201 is a deficient number, since it is larger than the sum of its proper divisors (1).

400203142201 is an equidigital number, since it uses as much as digits as its factorization.

400203142201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 400203142201 its reverse (102241302004), we get a palindrome (502444444205).

The spelling of 400203142201 in words is "four hundred billion, two hundred three million, one hundred forty-two thousand, two hundred one".