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110213341344 = 25321936754881
BaseRepresentation
bin110011010100100111…
…0100010000010100000
3101112110221211211200100
41212221032202002200
53301204103410334
6122344210222400
710651121641611
oct1465116420240
9345427754610
10110213341344
1142817615677
121943a284a00
13a5157758a2
145497679c08
152d00bd9c99
hex19a93a20a0

110213341344 has 144 divisors (see below), whose sum is σ = 330819914880. Its totient is φ = 34708746240.

The previous prime is 110213341313. The next prime is 110213341351. The reversal of 110213341344 is 443143312011.

110213341344 is a `hidden beast` number, since 110 + 2 + 133 + 413 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1102133413442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980784 + ... + 2035664.

It is an arithmetic number, because the mean of its divisors is an integer number (2297360520).

Almost surely, 2110213341344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110213341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165409957440).

110213341344 is an abundant number, since it is smaller than the sum of its proper divisors (220606573536).

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

110213341344 is a wasteful number, since it uses less digits than its factorization.

110213341344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55283 (or 55272 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 110213341344 its reverse (443143312011), we get a palindrome (553356653355).

The spelling of 110213341344 in words is "one hundred ten billion, two hundred thirteen million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 367 456 608 684 734 912 1101 1368 1468 1824 2202 2736 2936 3303 4404 5472 5872 6606 6973 8808 11744 13212 13946 17616 20919 26424 27892 35232 41838 52848 54881 55784 62757 83676 105696 109762 111568 125514 164643 167352 219524 223136 251028 329286 334704 439048 493929 502056 658572 669408 878096 987858 1004112 1042739 1317144 1756192 1975716 2008224 2085478 2634288 3128217 3951432 4170956 5268576 6256434 7902864 8341912 9384651 12512868 15805728 16683824 18769302 20141327 25025736 33367648 37538604 40282654 50051472 60423981 75077208 80565308 100102944 120847962 150154416 161130616 181271943 241695924 300308832 322261232 362543886 382685213 483391848 644522464 725087772 765370426 966783696 1148055639 1450175544 1530740852 1933567392 2296111278 2900351088 3061481704 3444166917 4592222556 5800702176 6122963408 6888333834 9184445112 12245926816 13776667668 18368890224 27553335336 36737780448 55106670672 110213341344