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10263836201 is a prime number
BaseRepresentation
bin10011000111100010…
…11011011000101001
3222111022012220100112
421203301123120221
5132010020224301
64414245344105
7512230111463
oct114361333051
928438186315
1010263836201
114397739063
121ba5408035
13c77565878
146d5201133
154011269bb
hex263c5b629

10263836201 has 2 divisors, whose sum is σ = 10263836202. Its totient is φ = 10263836200.

The previous prime is 10263836189. The next prime is 10263836251.

10263836201 is nontrivially palindromic in base 10.

10263836201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6815328025 + 3448508176 = 82555^2 + 58724^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10263836201 - 210 = 10263835177 is a prime.

It is a super-2 number, since 2×102638362012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10263836251) 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, 5131918100 + 5131918101.

It is an arithmetic number, because the mean of its divisors is an integer number (5131918101).

Almost surely, 210263836201 is an apocalyptic number.

It is an amenable number.

10263836201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10263836201 is an equidigital number, since it uses as much as digits as its factorization.

10263836201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 10263836201 in words is "ten billion, two hundred sixty-three million, eight hundred thirty-six thousand, two hundred one".