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103540220441 = 729231975849
BaseRepresentation
bin110000001101101111…
…0100110001000011001
3100220020220012011201022
41200123132212020121
53144022244023231
6115322110132225
710323552231620
oct1403336461031
9326226164638
10103540220441
113aa02834119
12180974b1075
1399c10bc038
1450232cc6b7
152a5ee3dc7b
hex181b7a6219

103540220441 has 48 divisors (see below), whose sum is σ = 127832140800. Its totient is φ = 82055393280.

The previous prime is 103540220437. The next prime is 103540220449. The reversal of 103540220441 is 144022045301.

It is not a de Polignac number, because 103540220441 - 22 = 103540220437 is a prime.

It is a super-3 number, since 3×1035402204413 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103540220441.

It is not an unprimeable number, because it can be changed into a prime (103540220449) 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 in 47 ways as a sum of consecutive naturals, for example, 17699285 + ... + 17705133.

It is an arithmetic number, because the mean of its divisors is an integer number (2663169600).

Almost surely, 2103540220441 is an apocalyptic number.

It is an amenable number.

103540220441 is a deficient number, since it is larger than the sum of its proper divisors (24291920359).

103540220441 is an equidigital number, since it uses as much as digits as its factorization.

103540220441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6042 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 103540220441 its reverse (144022045301), we get a palindrome (247562265742).

The spelling of 103540220441 in words is "one hundred three billion, five hundred forty million, two hundred twenty thousand, four hundred forty-one".

Divisors: 1 7 29 31 97 203 217 679 841 899 2813 3007 5849 5887 6293 19691 21049 26071 40943 81577 87203 169621 181319 182497 567353 571039 610421 1187347 1269233 2528887 3971471 4919009 5258251 16453237 17587943 17702209 34433063 36807757 115172659 123115601 152489279 477143873 510050347 1067424953 3340007111 3570352429 14791460063 103540220441