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105319303553 is a prime number
BaseRepresentation
bin110001000010110000…
…1010000100110000001
3101001211212211221221102
41202011201100212001
53211143220203203
6120214422104145
710415624211062
oct1420541204601
9331755757842
10105319303553
1140736001642
12184b327b055
139c15867539
1451516bc569
152b16214888
hex1885850981

105319303553 has 2 divisors, whose sum is σ = 105319303554. Its totient is φ = 105319303552.

The previous prime is 105319303549. The next prime is 105319303577. The reversal of 105319303553 is 355303913501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86234433649 + 19084869904 = 293657^2 + 138148^2 .

It is a cyclic number.

It is not a de Polignac number, because 105319303553 - 22 = 105319303549 is a prime.

It is a super-2 number, since 2×1053193035532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105319303513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52659651776 + 52659651777.

It is an arithmetic number, because the mean of its divisors is an integer number (52659651777).

Almost surely, 2105319303553 is an apocalyptic number.

It is an amenable number.

105319303553 is a deficient number, since it is larger than the sum of its proper divisors (1).

105319303553 is an equidigital number, since it uses as much as digits as its factorization.

105319303553 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 91125, while the sum is 38.

The spelling of 105319303553 in words is "one hundred five billion, three hundred nineteen million, three hundred three thousand, five hundred fifty-three".