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112030022000 = 2453135381299
BaseRepresentation
bin110100001010110000…
…0100111100101110000
3101201011120020210001002
41220111200213211300
53313414141201000
6123244344101132
711044131321641
oct1502540474560
9351146223032
10112030022000
114356a032746
12198667647a8
13a744c56260
1455caa556c8
152daa43a8d5
hex1a15827970

112030022000 has 160 divisors (see below), whose sum is σ = 297234100800. Its totient is φ = 40583961600.

The previous prime is 112030021969. The next prime is 112030022023. The reversal of 112030022000 is 220030211.

It is a happy number.

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, 1337351 + ... + 1418649.

It is an arithmetic number, because the mean of its divisors is an integer number (1857713130).

Almost surely, 2112030022000 is an apocalyptic number.

112030022000 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 112030022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148617050400).

112030022000 is an abundant number, since it is smaller than the sum of its proper divisors (185204078800).

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

112030022000 is a wasteful number, since it uses less digits than its factorization.

112030022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81388 (or 81372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 112030022000 its reverse (220030211), we get a palindrome (112250052211).

The spelling of 112030022000 in words is "one hundred twelve billion, thirty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 53 65 80 100 104 106 125 130 200 208 212 250 260 265 325 400 424 500 520 530 650 689 848 1000 1040 1060 1300 1325 1378 1625 2000 2120 2600 2650 2756 3250 3445 4240 5200 5300 5512 6500 6625 6890 10600 11024 13000 13250 13780 17225 21200 26000 26500 27560 34450 53000 55120 68900 81299 86125 106000 137800 162598 172250 275600 325196 344500 406495 650392 689000 812990 1056887 1300784 1378000 1625980 2032475 2113774 3251960 4064950 4227548 4308847 5284435 6503920 8129900 8455096 8617694 10162375 10568870 16259800 16910192 17235388 20324750 21137740 21544235 26422175 32519600 34470776 40649500 42275480 43088470 52844350 56015011 68941552 81299000 84550960 86176940 105688700 107721175 112030022 132110875 162598000 172353880 211377400 215442350 224060044 264221750 280075055 344707760 422754800 430884700 448120088 528443500 538605875 560150110 861769400 896240176 1056887000 1077211750 1120300220 1400375275 1723538800 2113774000 2154423500 2240600440 2800750550 4308847000 4481200880 5601501100 7001876375 8617694000 11203002200 14003752750 22406004400 28007505500 56015011000 112030022000