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10131202273 is a prime number
BaseRepresentation
bin10010110111101110…
…11110000011100001
3222011001122101210211
421123313132003201
5131222041433043
64353150454121
7506026540603
oct113367360341
928131571724
1010131202273
114329888245
121b68b04341
13c55c3725a
146c1757173
153e4677a9d
hex25bdde0e1

10131202273 has 2 divisors, whose sum is σ = 10131202274. Its totient is φ = 10131202272.

The previous prime is 10131202271. The next prime is 10131202373. The reversal of 10131202273 is 37220213101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10037635344 + 93566929 = 100188^2 + 9673^2 .

It is an emirp because it is prime and its reverse (37220213101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10131202273 - 21 = 10131202271 is a prime.

Together with 10131202271, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10131202271) 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, 5065601136 + 5065601137.

It is an arithmetic number, because the mean of its divisors is an integer number (5065601137).

Almost surely, 210131202273 is an apocalyptic number.

It is an amenable number.

10131202273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131202273 is an equidigital number, since it uses as much as digits as its factorization.

10131202273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 10131202273 its reverse (37220213101), we get a palindrome (47351415374).

The spelling of 10131202273 in words is "ten billion, one hundred thirty-one million, two hundred two thousand, two hundred seventy-three".