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1009190909101 is a prime number
BaseRepresentation
bin11101010111110000111…
…01110011010010101101
310120110220020201222112211
432223320131303102231
5113013310333042401
62051341011330421
7132624456122254
oct16537035632255
93513806658484
101009190909101
11359aa4a5aa41
12143707bb0a11
137422146c2ab
1436bb8d5579b
151b3b85a3951
hexeaf87734ad

1009190909101 has 2 divisors, whose sum is σ = 1009190909102. Its totient is φ = 1009190909100.

The previous prime is 1009190909087. The next prime is 1009190909107. The reversal of 1009190909101 is 1019090919001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 897237095076 + 111953814025 = 947226^2 + 334595^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009190909101 - 221 = 1009188811949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009190909107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504595454550 + 504595454551.

It is an arithmetic number, because the mean of its divisors is an integer number (504595454551).

Almost surely, 21009190909101 is an apocalyptic number.

It is an amenable number.

1009190909101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009190909101 is an equidigital number, since it uses as much as digits as its factorization.

1009190909101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 1009190909101 in words is "one trillion, nine billion, one hundred ninety million, nine hundred nine thousand, one hundred one".