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2403006401 is a prime number
BaseRepresentation
bin1000111100111010…
…1111011111000001
320012110200101002002
42033032233133001
514410132201101
61034240433345
7113356134365
oct21716573701
96173611062
102403006401
111023486304
12570918855
132c3acc1a3
1418b2032a5
15e0e6bd6b
hex8f3af7c1

2403006401 has 2 divisors, whose sum is σ = 2403006402. Its totient is φ = 2403006400.

The previous prime is 2403006371. The next prime is 2403006409. The reversal of 2403006401 is 1046003042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2264332225 + 138674176 = 47585^2 + 11776^2 .

It is a cyclic number.

It is not a de Polignac number, because 2403006401 - 230 = 1329264577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2403006409) 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, 1201503200 + 1201503201.

It is an arithmetic number, because the mean of its divisors is an integer number (1201503201).

Almost surely, 22403006401 is an apocalyptic number.

It is an amenable number.

2403006401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2403006401 is an equidigital number, since it uses as much as digits as its factorization.

2403006401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2403006401 is about 49020.4692042008. The cubic root of 2403006401 is about 1339.4247179724.

Adding to 2403006401 its reverse (1046003042), we get a palindrome (3449009443).

The spelling of 2403006401 in words is "two billion, four hundred three million, six thousand, four hundred one".