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1009100909981 is a prime number
BaseRepresentation
bin11101010111100110001…
…10011110110110011101
310120110122222101112222002
432223303012132312131
5113013114313104411
62051324034332045
7132622314132203
oct16536306366635
93513588345862
101009100909981
11359a5917a2aa
121436a1a2a025
137420891a888
1436bab009073
151b3b072733b
hexeaf319ed9d

1009100909981 has 2 divisors, whose sum is σ = 1009100909982. Its totient is φ = 1009100909980.

The previous prime is 1009100909977. The next prime is 1009100910011. The reversal of 1009100909981 is 1899090019001.

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., 661390201081 + 347710708900 = 813259^2 + 589670^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009100909981 - 22 = 1009100909977 is a prime.

It is a super-2 number, since 2×10091009099812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009100909941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504550454990 + 504550454991.

It is an arithmetic number, because the mean of its divisors is an integer number (504550454991).

Almost surely, 21009100909981 is an apocalyptic number.

It is an amenable number.

1009100909981 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009100909981 is an equidigital number, since it uses as much as digits as its factorization.

1009100909981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 47.

The spelling of 1009100909981 in words is "one trillion, nine billion, one hundred million, nine hundred nine thousand, nine hundred eighty-one".