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10130011201 is a prime number
BaseRepresentation
bin10010110111100101…
…11011010001000001
3222010222101212222001
421123302323101001
5131221240324301
64353105144001
7506013450232
oct113362732101
928128355861
1010130011201
114329144392
121b6862b001
13c5590b08b
146c1527089
153e44dec01
hex25bcbb441

10130011201 has 2 divisors, whose sum is σ = 10130011202. Its totient is φ = 10130011200.

The previous prime is 10130011117. The next prime is 10130011223. The reversal of 10130011201 is 10211003101.

10130011201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9375080625 + 754930576 = 96825^2 + 27476^2 .

It is a cyclic number.

It is not a de Polignac number, because 10130011201 - 223 = 10121622593 is a prime.

It is not a weakly prime, because it can be changed into another prime (10130011231) 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, 5065005600 + 5065005601.

It is an arithmetic number, because the mean of its divisors is an integer number (5065005601).

Almost surely, 210130011201 is an apocalyptic number.

It is an amenable number.

10130011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10130011201 is an equidigital number, since it uses as much as digits as its factorization.

10130011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10130011201 its reverse (10211003101), we get a palindrome (20341014302).

The spelling of 10130011201 in words is "ten billion, one hundred thirty million, eleven thousand, two hundred one".