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101243513353 is a prime number
BaseRepresentation
bin101111001001010010…
…1010110101000001001
3100200022211112100212211
41132102211112220021
53124321314411403
6114302143505121
710212623443603
oct1362245265011
9320284470784
10101243513353
1139a34362094
12177562b81a1
13971632a968
144c8627a173
1529784bd06d
hex1792956a09

101243513353 has 2 divisors, whose sum is σ = 101243513354. Its totient is φ = 101243513352.

The previous prime is 101243513351. The next prime is 101243513377. The reversal of 101243513353 is 353315342101.

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., 92700763024 + 8542750329 = 304468^2 + 92427^2 .

It is a cyclic number.

It is not a de Polignac number, because 101243513353 - 21 = 101243513351 is a prime.

Together with 101243513351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101243513351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50621756676 + 50621756677.

It is an arithmetic number, because the mean of its divisors is an integer number (50621756677).

Almost surely, 2101243513353 is an apocalyptic number.

It is an amenable number.

101243513353 is a deficient number, since it is larger than the sum of its proper divisors (1).

101243513353 is an equidigital number, since it uses as much as digits as its factorization.

101243513353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 101243513353 its reverse (353315342101), we get a palindrome (454558855454).

The spelling of 101243513353 in words is "one hundred one billion, two hundred forty-three million, five hundred thirteen thousand, three hundred fifty-three".