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10442300310 = 2325138925043
BaseRepresentation
bin10011011100110100…
…01101101110010110
3222221202000211002100
421232122031232112
5132341212102220
64444102422530
7516525042141
oct115632155626
928852024070
1010442300310
114479451862
122035131a46
13ca551c630
14710bb9058
15411b29d90
hex26e68db96

10442300310 has 48 divisors (see below), whose sum is σ = 29238444144. Its totient is φ = 2570412096.

The previous prime is 10442300261. The next prime is 10442300339. The reversal of 10442300310 is 1300324401.

10442300310 is a `hidden beast` number, since 10 + 4 + 42 + 300 + 310 = 666.

It is a super-2 number, since 2×104423003102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4461352 + ... + 4463691.

It is an arithmetic number, because the mean of its divisors is an integer number (609134253).

Almost surely, 210442300310 is an apocalyptic number.

10442300310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10442300310 is an abundant number, since it is smaller than the sum of its proper divisors (18796143834).

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

10442300310 is a wasteful number, since it uses less digits than its factorization.

10442300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8925069 (or 8925066 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10442300310 its reverse (1300324401), we get a palindrome (11742624711).

The spelling of 10442300310 in words is "ten billion, four hundred forty-two million, three hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8925043 17850086 26775129 44625215 53550258 80325387 89250430 116025559 133875645 160650774 232051118 267751290 348076677 401626935 580127795 696153354 803253870 1044230031 1160255590 1740383385 2088460062 3480766770 5221150155 10442300310