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10112033201 is a prime number
BaseRepresentation
bin10010110101011100…
…10110000110110001
3222002201120111210012
421122232112012301
5131202140030301
64351223544305
7505404602234
oct113256260661
928081514705
1010112033201
114319a85236
121b625bb095
13c51c850ca
146bcda741b
153e2b3cebb
hex25ab961b1

10112033201 has 2 divisors, whose sum is σ = 10112033202. Its totient is φ = 10112033200.

The previous prime is 10112033179. The next prime is 10112033227. The reversal of 10112033201 is 10233021101.

10112033201 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., 10064904976 + 47128225 = 100324^2 + 6865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10112033201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112033291) 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, 5056016600 + 5056016601.

It is an arithmetic number, because the mean of its divisors is an integer number (5056016601).

Almost surely, 210112033201 is an apocalyptic number.

It is an amenable number.

10112033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112033201 is an equidigital number, since it uses as much as digits as its factorization.

10112033201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10112033201 its reverse (10233021101), we get a palindrome (20345054302).

The spelling of 10112033201 in words is "ten billion, one hundred twelve million, thirty-three thousand, two hundred one".