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10001014141 is a prime number
BaseRepresentation
bin10010101000001101…
…10101110101111101
3221210222200011021011
421110012311311331
5130440224423031
64332220235221
7502556134426
oct112406656575
927728604234
1010001014141
114272347a48
121b3139bb11
13c34c83c61
146ac34864d
153d800d6b1
hex2541b5d7d

10001014141 has 2 divisors, whose sum is σ = 10001014142. Its totient is φ = 10001014140.

The previous prime is 10001014117. The next prime is 10001014147. The reversal of 10001014141 is 14141010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9667805625 + 333208516 = 98325^2 + 18254^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001014141 - 29 = 10001013629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001014147) 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, 5000507070 + 5000507071.

It is an arithmetic number, because the mean of its divisors is an integer number (5000507071).

Almost surely, 210001014141 is an apocalyptic number.

It is an amenable number.

10001014141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001014141 is an equidigital number, since it uses as much as digits as its factorization.

10001014141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001014141 its reverse (14141010001), we get a palindrome (24142024142).

The spelling of 10001014141 in words is "ten billion, one million, fourteen thousand, one hundred forty-one".