Search a number
-
+
111012000021100 = 2252171071251748757
BaseRepresentation
bin11001001111011011111110…
…110100111011101001101100
3112120001122101011010102220001
4121033123332310323221230
5104022310034001133400
61032034113032234044
732245231564001053
oct3117337664735154
9476048334112801
10111012000021100
113240aa19a315a2
121054aa5223b924
1349c350470b2a9
141d5b01bdad39a
15cc7a24700a6a
hex64f6fed3ba6c

111012000021100 has 144 divisors (see below), whose sum is σ = 257476042166112. Its totient is φ = 41398009712640.

The previous prime is 111012000021077. The next prime is 111012000021107. The reversal of 111012000021100 is 1120000210111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (111012000021107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2276817922 + ... + 2276866678.

It is an arithmetic number, because the mean of its divisors is an integer number (1788028070598).

Almost surely, 2111012000021100 is an apocalyptic number.

111012000021100 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 111012000021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128738021083056).

111012000021100 is an abundant number, since it is smaller than the sum of its proper divisors (146464042145012).

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

111012000021100 is a wasteful number, since it uses less digits than its factorization.

111012000021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61412 (or 61405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 111012000021100 its reverse (1120000210111), we get a palindrome (112132000231211).

The spelling of 111012000021100 in words is "one hundred eleven trillion, twelve billion, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 850 1070 1700 1819 2140 2675 3638 5350 7276 9095 10700 12517 18190 25034 36380 45475 48757 50068 62585 90950 97514 125170 181900 195028 212789 243785 250340 312925 425578 487570 625850 828869 851156 975140 1063945 1218925 1251700 1339319 1657738 2127890 2437850 2678638 3315476 4144345 4255780 4875700 5216999 5319725 5357276 6696595 8288690 10433998 10639450 13393190 16577380 20721725 20867996 21278900 22768423 26084995 26786380 33482975 41443450 45536846 52169990 66965950 82886900 88688983 91073692 104339980 113842115 130424975 133931900 177377966 227684230 260849950 354755932 443444915 455368460 521699900 569210575 610291369 886889830 1138421150 1220582738 1773779660 2217224575 2276842300 2441165476 3051456845 4434449150 6102913690 8868898300 10374953273 12205827380 15257284225 20749906546 30514568450 41499813092 51874766365 61029136900 65301176483 103749532730 130602352966 207499065460 259373831825 261204705932 326505882415 518747663650 653011764830 1037495327300 1110120000211 1306023529660 1632529412075 2220240000422 3265058824150 4440480000844 5550600001055 6530117648300 11101200002110 22202400004220 27753000005275 55506000010550 111012000021100