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105383103440 = 2451317288793
BaseRepresentation
bin110001000100101010…
…0101000101111010000
3101002000022220022221012
41202021110220233100
53211311033302230
6120225021350052
710420330412426
oct1421124505720
9332008808835
10105383103440
114076901841a
1218510708328
139c25b44c54
145159d69116
152b1bb18395
hex1889528bd0

105383103440 has 20 divisors (see below), whose sum is σ = 245015715684. Its totient is φ = 42153241344.

The previous prime is 105383103437. The next prime is 105383103443. The reversal of 105383103440 is 44301383501.

It is an interprime number because it is at equal distance from previous prime (105383103437) and next prime (105383103443).

It can be written as a sum of positive squares in 2 ways, for example, as 65057644096 + 40325459344 = 255064^2 + 200812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1053831034402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105383103397 and 105383103406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105383103443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658644317 + ... + 658644476.

Almost surely, 2105383103440 is an apocalyptic number.

105383103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105383103440 is an abundant number, since it is smaller than the sum of its proper divisors (139632612244).

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

105383103440 is a wasteful number, since it uses less digits than its factorization.

105383103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317288806 (or 1317288800 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 105383103440 its reverse (44301383501), we get a palindrome (149684486941).

The spelling of 105383103440 in words is "one hundred five billion, three hundred eighty-three million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1317288793 2634577586 5269155172 6586443965 10538310344 13172887930 21076620688 26345775860 52691551720 105383103440