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10442102330 = 25114711931693
BaseRepresentation
bin10011011100110010…
…11101011000111010
3222221201122202111202
421232121131120322
5132341134233310
64444054254202
7516523256012
oct115631353072
928851582452
1010442102330
114479327040
122035057362
13ca548049a
14710b66c42
15411adb3a5
hex26e65d63a

10442102330 has 64 divisors (see below), whose sum is σ = 20970690048. Its totient is φ = 3711029760.

The previous prime is 10442102323. The next prime is 10442102339. The reversal of 10442102330 is 3320124401.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10442102339) 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 31 ways as a sum of consecutive naturals, for example, 6166964 + ... + 6168656.

It is an arithmetic number, because the mean of its divisors is an integer number (327667032).

Almost surely, 210442102330 is an apocalyptic number.

10442102330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10442102330 is an abundant number, since it is smaller than the sum of its proper divisors (10528587718).

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

10442102330 is a wasteful number, since it uses less digits than its factorization.

10442102330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10442102330 its reverse (3320124401), we get a palindrome (13762226731).

The spelling of 10442102330 in words is "ten billion, four hundred forty-two million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 47 55 94 110 235 470 517 1034 1193 1693 2386 2585 3386 5170 5965 8465 11930 13123 16930 18623 26246 37246 56071 65615 79571 93115 112142 131230 159142 186230 280355 397855 560710 616781 795710 875281 1233562 1750562 2019749 3083905 4039498 4376405 6167810 8752810 10098745 20197490 22217239 44434478 94928203 111086195 189856406 222172390 474641015 949282030 1044210233 2088420466 5221051165 10442102330