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21743401513 is a prime number
BaseRepresentation
bin10100010000000000…
…011111101000101001
32002010100001020112011
4110100000133220221
5324012302322023
613553324315521
71366551602101
oct242000375051
962110036464
1021743401513
119248646419
1242699a2ba1
13208693c072
1410a3a68201
15873d4450d
hex51001fa29

21743401513 has 2 divisors, whose sum is σ = 21743401514. Its totient is φ = 21743401512.

The previous prime is 21743401501. The next prime is 21743401571. The reversal of 21743401513 is 31510434712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13464585369 + 8278816144 = 116037^2 + 90988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21743401513 is a prime.

It is not a weakly prime, because it can be changed into another prime (21743401213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10871700756 + 10871700757.

It is an arithmetic number, because the mean of its divisors is an integer number (10871700757).

Almost surely, 221743401513 is an apocalyptic number.

It is an amenable number.

21743401513 is a deficient number, since it is larger than the sum of its proper divisors (1).

21743401513 is an equidigital number, since it uses as much as digits as its factorization.

21743401513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 21743401513 in words is "twenty-one billion, seven hundred forty-three million, four hundred one thousand, five hundred thirteen".