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12322333202010 = 23513174194435733
BaseRepresentation
bin1011001101010000010001…
…0010110001011001011010
31121122000002120212100020120
42303110010102301121122
53103342114244431020
642112445101134110
72411154622016106
oct263240422613132
947560076770216
1012322333202010
113a20965939347
12147019855a336
136b4cb63c4810
14308592c38906
151657eb0c9740
hexb35044b165a

12322333202010 has 128 divisors (see below), whose sum is σ = 33802422232320. Its totient is φ = 2847952859136.

The previous prime is 12322333201973. The next prime is 12322333202059. The reversal of 12322333202010 is 1020233322321.

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 63 ways as a sum of consecutive naturals, for example, 560104 + ... + 4995836.

It is an arithmetic number, because the mean of its divisors is an integer number (264081423690).

Almost surely, 212322333202010 is an apocalyptic number.

12322333202010 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 12322333202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901211116160).

12322333202010 is an abundant number, since it is smaller than the sum of its proper divisors (21480089030310).

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

12322333202010 is a wasteful number, since it uses less digits than its factorization.

12322333202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4436192.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12322333202010 its reverse (1020233322321), we get a palindrome (13342566524331).

The spelling of 12322333202010 in words is "twelve trillion, three hundred twenty-two billion, three hundred thirty-three million, two hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 419 442 510 663 838 1105 1257 1326 2095 2210 2514 3315 4190 5447 6285 6630 7123 10894 12570 14246 16341 21369 27235 32682 35615 42738 54470 71230 81705 92599 106845 163410 185198 213690 277797 462995 555594 925990 1388985 2777970 4435733 8871466 13307199 22178665 26614398 44357330 57664529 66535995 75407461 115329058 133071990 150814922 172993587 226222383 288322645 345987174 377037305 452444766 576645290 754074610 864967935 980296993 1131111915 1729935870 1858572127 1960593986 2262223830 2940890979 3717144254 4901484965 5575716381 5881781958 9292860635 9802969930 11151432762 14704454895 18585721270 24161437651 27878581905 29408909790 31595726159 48322875302 55757163810 63191452318 72484312953 94787178477 120807188255 144968625906 157978630795 189574356954 241614376510 315957261590 362421564765 410744440067 473935892385 724843129530 821488880134 947871784770 1232233320201 2053722200335 2464466640402 4107444400670 6161166601005 12322333202010