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126320103 = 32713891733
BaseRepresentation
bin1111000011101…
…11110111100111
322210200201121100
413201313313213
5224314220403
620311251143
73062463120
oct741676747
9283621540
10126320103
1165339188
1236379ab3
132022a830
1412ac3047
15b1532a3
hex7877de7

126320103 has 48 divisors (see below), whose sum is σ = 227223360. Its totient is φ = 65843712.

The previous prime is 126320063. The next prime is 126320123. The reversal of 126320103 is 301023621.

It is not a de Polignac number, because 126320103 - 26 = 126320039 is a prime.

It is a super-4 number, since 4×1263201034 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126320123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72025 + ... + 73757.

It is an arithmetic number, because the mean of its divisors is an integer number (4733820).

Almost surely, 2126320103 is an apocalyptic number.

126320103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

126320103 is a deficient number, since it is larger than the sum of its proper divisors (100903257).

126320103 is a wasteful number, since it uses less digits than its factorization.

126320103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 126320103 is about 11239.2216367505. The cubic root of 126320103 is about 501.7539772662.

Adding to 126320103 its reverse (301023621), we get a palindrome (427343724).

The spelling of 126320103 in words is "one hundred twenty-six million, three hundred twenty thousand, one hundred three".

Divisors: 1 3 7 9 13 21 39 63 89 91 117 267 273 623 801 819 1157 1733 1869 3471 5199 5607 8099 10413 12131 15597 22529 24297 36393 67587 72891 109179 154237 157703 202761 462711 473109 1079659 1388133 1419327 2005081 3238977 6015243 9716931 14035567 18045729 42106701 126320103