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1010203131109 is a prime number
BaseRepresentation
bin11101011001101001100…
…11000111110011100101
310120120111210102012002211
432230310303013303211
5113022344000143414
62052025251003421
7132661526635654
oct16546463076345
93516453365084
101010203131109
1135a474371357
1214394ab99571
1374353098523
1436c7356519b
151b42739b3c4
hexeb34cc7ce5

1010203131109 has 2 divisors, whose sum is σ = 1010203131110. Its totient is φ = 1010203131108.

The previous prime is 1010203131107. The next prime is 1010203131193. The reversal of 1010203131109 is 9011313020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 941718858084 + 68484273025 = 970422^2 + 261695^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010203131109 - 21 = 1010203131107 is a prime.

It is a super-2 number, since 2×10102031311092 (a number of 25 digits) contains 22 as substring.

Together with 1010203131107, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1010203131109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010203131103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505101565554 + 505101565555.

It is an arithmetic number, because the mean of its divisors is an integer number (505101565555).

Almost surely, 21010203131109 is an apocalyptic number.

It is an amenable number.

1010203131109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010203131109 is an equidigital number, since it uses as much as digits as its factorization.

1010203131109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 1010203131109 in words is "one trillion, ten billion, two hundred three million, one hundred thirty-one thousand, one hundred nine".