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10234302210 = 235511234807
BaseRepresentation
bin10011000100000001…
…10000111100000010
3222102020122102100000
421202000300330002
5131424440132320
64411312340430
7511421063526
oct114200607402
928366572300
1010234302210
114381aa6800
121b97544716
13c713c4a32
146d1313d86
153ed740c90
hex262030f02

10234302210 has 144 divisors (see below), whose sum is σ = 30332248128. Its totient is φ = 2480971680.

The previous prime is 10234302181. The next prime is 10234302257. The reversal of 10234302210 is 1220343201.

10234302210 is a `hidden beast` number, since 1 + 0 + 23 + 430 + 2 + 210 = 666.

It is a super-2 number, since 2×102343022102 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276627 + ... + 311433.

It is an arithmetic number, because the mean of its divisors is an integer number (210640612).

Almost surely, 210234302210 is an apocalyptic number.

10234302210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234302210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15166124064).

10234302210 is an abundant number, since it is smaller than the sum of its proper divisors (20097945918).

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

10234302210 is a wasteful number, since it uses less digits than its factorization.

10234302210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34851 (or 34828 counting only the distinct ones).

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

Adding to 10234302210 its reverse (1220343201), we get a palindrome (11454645411).

The spelling of 10234302210 in words is "ten billion, two hundred thirty-four million, three hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 121 135 162 165 198 242 243 270 297 330 363 405 486 495 594 605 726 810 891 990 1089 1210 1215 1485 1782 1815 2178 2430 2673 2970 3267 3630 4455 5346 5445 6534 8910 9801 10890 13365 16335 19602 26730 29403 32670 34807 49005 58806 69614 98010 104421 147015 174035 208842 294030 313263 348070 382877 522105 626526 765754 939789 1044210 1148631 1566315 1879578 1914385 2297262 2819367 3132630 3445893 3828770 4211647 4698945 5638734 5743155 6891786 8423294 8458101 9397890 10337679 11486310 12634941 14096835 16916202 17229465 20675358 21058235 25269882 28193670 31013037 34458930 37904823 42116470 42290505 51688395 62026074 63174705 75809646 84581010 93039111 103376790 113714469 126349410 155065185 186078222 189524115 227428938 310130370 341143407 379048230 465195555 568572345 682286814 930391110 1023430221 1137144690 1705717035 2046860442 3411434070 5117151105 10234302210