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42402415201 is a prime number
BaseRepresentation
bin100111011111011000…
…011000001001100001
311001110002121212121021
4213133120120021201
51143320004241301
631251314525441
73030525403516
oct473730301141
9131402555537
1042402415201
1116a8a070153
128274596881
133cc9a05613
1420a369930d
1511828888a1
hex9df618261

42402415201 has 2 divisors, whose sum is σ = 42402415202. Its totient is φ = 42402415200.

The previous prime is 42402415199. The next prime is 42402415213. The reversal of 42402415201 is 10251420424.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41883669025 + 518746176 = 204655^2 + 22776^2 .

It is a cyclic number.

It is not a de Polignac number, because 42402415201 - 21 = 42402415199 is a prime.

Together with 42402415199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42402415241) 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, 21201207600 + 21201207601.

It is an arithmetic number, because the mean of its divisors is an integer number (21201207601).

Almost surely, 242402415201 is an apocalyptic number.

It is an amenable number.

42402415201 is a deficient number, since it is larger than the sum of its proper divisors (1).

42402415201 is an equidigital number, since it uses as much as digits as its factorization.

42402415201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42402415201 its reverse (10251420424), we get a palindrome (52653835625).

The spelling of 42402415201 in words is "forty-two billion, four hundred two million, four hundred fifteen thousand, two hundred one".