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21310430442320 = 2457935911937873
BaseRepresentation
bin1001101100001101110001…
…01000101111001101010000
32210110020221112112022212102
410312012320220233031100
510243122230143123240
6113153513202215532
74326425222010155
oct466067050571520
983406845468772
1021310430442320
116876780471998
1224821300545a8
13bb7746308326
14539604bb622c
1526e4ee842815
hex1361b8a2f350

21310430442320 has 160 divisors (see below), whose sum is σ = 50362255180800. Its totient is φ = 8384727416832.

The previous prime is 21310430442293. The next prime is 21310430442331. The reversal of 21310430442320 is 2324403401312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2706769904 + ... + 2706777776.

It is an arithmetic number, because the mean of its divisors is an integer number (314764094880).

Almost surely, 221310430442320 is an apocalyptic number.

21310430442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21310430442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181127590400).

21310430442320 is an abundant number, since it is smaller than the sum of its proper divisors (29051824738480).

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

21310430442320 is a wasteful number, since it uses less digits than its factorization.

21310430442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9517 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 21310430442320 its reverse (2324403401312), we get a palindrome (23634833843632).

The spelling of 21310430442320 in words is "twenty-one trillion, three hundred ten billion, four hundred thirty million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 359 395 632 718 790 1193 1264 1436 1580 1795 2386 2872 3160 3590 4772 5744 5965 6320 7180 7873 9544 11930 14360 15746 19088 23860 28361 28720 31492 39365 47720 56722 62984 78730 94247 95440 113444 125968 141805 157460 188494 226888 283610 314920 376988 428287 453776 471235 567220 621967 629840 753976 856574 942470 1134440 1243934 1507952 1713148 1884940 2141435 2268880 2487868 2826407 3109835 3426296 3769880 4282870 4975736 5652814 6219670 6852592 7539760 8565740 9392489 9951472 11305628 12439340 14132035 17131480 18784978 22611256 24878680 28264070 33834673 34262960 37569956 45222512 46962445 49757360 56528140 67669346 75139912 93924890 113056280 135338692 150279824 169173365 187849780 223286153 226112560 270677384 338346730 375699560 446572306 541354768 676693460 742006631 751399120 893144612 1116430765 1353386920 1484013262 1786289224 2232861530 2706773840 2968026524 3371903551 3572578448 3710033155 4465723060 5936053048 6743807102 7420066310 8931446120 11872106096 13487614204 14840132620 16859517755 17862892240 26975228408 29680265240 33719035510 53950456816 59360530480 67438071020 134876142040 266380380529 269752284080 532760761058 1065521522116 1331901902645 2131043044232 2663803805290 4262086088464 5327607610580 10655215221160 21310430442320