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1001010001141 is a prime number
BaseRepresentation
bin11101001000100001101…
…10000111010011110101
310112200210002220210120201
432210100312013103311
5112400032030014031
62043505130200501
7132214650422533
oct16442066072365
93480702823521
101001010001141
1135658705a787
12142004283131
13735195c7c57
1436640639153
151b08a270d61
hexe910d874f5

1001010001141 has 2 divisors, whose sum is σ = 1001010001142. Its totient is φ = 1001010001140.

The previous prime is 1001010001139. The next prime is 1001010001171. The reversal of 1001010001141 is 1411000101001.

1001010001141 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., 721940808241 + 279069192900 = 849671^2 + 528270^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010001141 - 21 = 1001010001139 is a prime.

Together with 1001010001139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001010001111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505000570 + 500505000571.

It is an arithmetic number, because the mean of its divisors is an integer number (500505000571).

Almost surely, 21001010001141 is an apocalyptic number.

It is an amenable number.

1001010001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010001141 is an equidigital number, since it uses as much as digits as its factorization.

1001010001141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001010001141 its reverse (1411000101001), we get a palindrome (2412010102142).

The spelling of 1001010001141 in words is "one trillion, one billion, ten million, one thousand, one hundred forty-one".