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45103313441305 = 5761731321219071
BaseRepresentation
bin10100100000101011011101…
…11110011101001000011001
312220200211112110111201221201
422100111232332131020121
521402433041220110210
6235532102014234201
712333415103421130
oct1220255676351031
9186624473451851
1045103313441305
111340a231662179
1250853a84b5961
131c222bb778802
14b1d024d9a917
155333924d353a
hex29056ef9d219

45103313441305 has 64 divisors (see below), whose sum is σ = 63779773833216. Its totient is φ = 29981394432000.

The previous prime is 45103313441269. The next prime is 45103313441317. The reversal of 45103313441305 is 50314431330154.

45103313441305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45103313441305 - 219 = 45103312917017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205774920 + ... + 205993990.

It is an arithmetic number, because the mean of its divisors is an integer number (996558966144).

Almost surely, 245103313441305 is an apocalyptic number.

It is an amenable number.

45103313441305 is a deficient number, since it is larger than the sum of its proper divisors (18676460391911).

45103313441305 is a wasteful number, since it uses less digits than its factorization.

45103313441305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220538.

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 45103313441305 its reverse (50314431330154), we get a palindrome (95417744771459).

The spelling of 45103313441305 in words is "forty-five trillion, one hundred three billion, three hundred thirteen million, four hundred forty-one thousand, three hundred five".

Divisors: 1 5 7 35 61 73 305 365 427 511 1321 2135 2555 4453 6605 9247 22265 31171 46235 80581 96433 155855 219071 402905 482165 564067 675031 1095355 1533497 2820335 3375155 5882413 7667485 13363331 15992183 29412065 41176891 66816655 79960915 93543317 111945281 205884455 289392791 467716585 559726405 975523163 1446963955 2025749537 4877615815 6828662141 10128747685 17652960251 21125673743 34143310705 88264801255 105628368715 123570721757 147879716201 617853608785 739398581005 1288666098323 6443330491615 9020662688261 45103313441305