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103541326344 = 23322063697079
BaseRepresentation
bin110000001101110001…
…0110100001000001000
3100220020222021100201200
41200123202310020020
53144023034420334
6115322145544200
710323564516051
oct1403342641010
9326228240650
10103541326344
113aa03419a95
1218097945060
1399c13b8511
1450234d9728
152a600ab799
hex181b8b4208

103541326344 has 48 divisors (see below), whose sum is σ = 280560758400. Its totient is φ = 34496996064.

The previous prime is 103541326307. The next prime is 103541326349. The reversal of 103541326344 is 443623145301.

103541326344 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 4 + 13 + 2 + 634 + 4 = 666.

It is a super-3 number, since 3×1035413263443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103541326299 and 103541326308.

It is not an unprimeable number, because it can be changed into a prime (103541326349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200004 + ... + 497075.

It is an arithmetic number, because the mean of its divisors is an integer number (5845015800).

Almost surely, 2103541326344 is an apocalyptic number.

It is an amenable number.

103541326344 is an abundant number, since it is smaller than the sum of its proper divisors (177019432056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103541326344 is a wasteful number, since it uses less digits than its factorization.

103541326344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699154 (or 699147 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 103541326344 in words is "one hundred three billion, five hundred forty-one million, three hundred twenty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2063 4126 6189 8252 12378 16504 18567 24756 37134 49512 74268 148536 697079 1394158 2091237 2788316 4182474 5576632 6273711 8364948 12547422 16729896 25094844 50189688 1438073977 2876147954 4314221931 5752295908 8628443862 11504591816 12942665793 17256887724 25885331586 34513775448 51770663172 103541326344