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21312241132314 = 23112683211320341
BaseRepresentation
bin1001101100010001001001…
…00011111110001100011010
32210110102121201122220120210
410312020210203332030122
510243134432212213224
6113154413003431550
74326521126426556
oct466104443761432
983412551586523
1021312241132314
11687751a568100
1224825565255b6
13bb797449c022
14539737472866
1526e5a87ad429
hex1362248fe31a

21312241132314 has 96 divisors (see below), whose sum is σ = 46944813892032. Its totient is φ = 6445430323200.

The previous prime is 21312241132283. The next prime is 21312241132393. The reversal of 21312241132314 is 41323114221312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047737784 + ... + 1047758124.

It is an arithmetic number, because the mean of its divisors is an integer number (489008478042).

Almost surely, 221312241132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312241132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23472406946016).

21312241132314 is an abundant number, since it is smaller than the sum of its proper divisors (25632572759718).

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

21312241132314 is a wasteful number, since it uses less digits than its factorization.

21312241132314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23164 (or 23153 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

Adding to 21312241132314 its reverse (41323114221312), we get a palindrome (62635355353626).

The spelling of 21312241132314 in words is "twenty-one trillion, three hundred twelve billion, two hundred forty-one million, one hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 683 726 1366 2049 2113 4098 4226 6339 7513 12678 15026 20341 22539 23243 40682 45078 46486 61023 69729 82643 122046 139458 165286 223751 247929 255673 447502 495858 511346 671253 767019 1342506 1443179 1534038 2461261 2886358 4329537 4922522 7383783 8659074 13892903 14767566 15874969 27785806 31749938 41678709 42980533 47624907 83357418 85961066 95249814 128941599 152821933 174624659 257883198 305643866 349249318 458465799 472785863 523873977 916931598 945571726 1047747954 1418357589 1681041263 2836715178 3362082526 5043123789 5200644493 10086247578 10401288986 15601933479 29355704039 31203866958 58711408078 88067112117 176134224234 322912744429 645825488858 968738233287 1937476466574 3552040188719 7104080377438 10656120566157 21312241132314