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110230331100 = 223522916377731
BaseRepresentation
bin110011010101000111…
…1010101111011011100
3101112112010211000020120
41212222033111323130
53301222431043400
6122350014314540
710651416232461
oct1465217257334
9345463730216
10110230331100
114282616a29a
1219443ab8a50
13a519143ab6
145499a1d668
152d02443ca0
hex19aa3d5edc

110230331100 has 144 divisors (see below), whose sum is σ = 331959169920. Its totient is φ = 28206662400.

The previous prime is 110230331089. The next prime is 110230331119. The reversal of 110230331100 is 1133032011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110230331100.

It is a congruent number.

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, 1379235 + ... + 1456965.

Almost surely, 2110230331100 is an apocalyptic number.

110230331100 is a gapful number since it is divisible by the number (10) 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 110230331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165979584960).

110230331100 is an abundant number, since it is smaller than the sum of its proper divisors (221728838820).

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

110230331100 is a wasteful number, since it uses less digits than its factorization.

110230331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77940 (or 77933 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 110230331100 its reverse (1133032011), we get a palindrome (111363363111).

It can be divided in two parts, 110230 and 331100, that added together give a triangular number (441330 = T939).

The spelling of 110230331100 in words is "one hundred ten billion, two hundred thirty million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 163 174 290 300 326 348 435 489 580 652 725 815 870 978 1450 1630 1740 1956 2175 2445 2900 3260 4075 4350 4727 4890 8150 8700 9454 9780 12225 14181 16300 18908 23635 24450 28362 47270 48900 56724 70905 77731 94540 118175 141810 155462 233193 236350 283620 310924 354525 388655 466386 472700 709050 777310 932772 1165965 1418100 1554620 1943275 2254199 2331930 3886550 4508398 4663860 5829825 6762597 7773100 9016796 11270995 11659650 12670153 13525194 22541990 23319300 25340306 27050388 33812985 38010459 45083980 50680612 56354975 63350765 67625970 76020918 112709950 126701530 135251940 152041836 169064925 190052295 225419900 253403060 316753825 338129850 367434437 380104590 633507650 676259700 734868874 760209180 950261475 1102303311 1267015300 1469737748 1837172185 1900522950 2204606622 3674344370 3801045900 4409213244 5511516555 7348688740 9185860925 11023033110 18371721850 22046066220 27557582775 36743443700 55115165550 110230331100