Search a number
-
+
11000022112100 = 2252776607205129
BaseRepresentation
bin1010000000010010010001…
…1010010001011101100100
31102221120222110021002102002
42200010210122101131210
52420211021130041400
635221201305304432
72213503542140150
oct240044432213544
942846873232362
1011000022112100
1135610a079207a
121297a65195118
1361a3b3b96938
142a0592490060
151412085c5ed5
hexa0124691764

11000022112100 has 72 divisors (see below), whose sum is σ = 27280543933440. Its totient is φ = 3771368536320.

The previous prime is 11000022112081. The next prime is 11000022112139. The reversal of 11000022112100 is 121122000011.

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, 53522336 + ... + 53727464.

It is an arithmetic number, because the mean of its divisors is an integer number (378896443520).

Almost surely, 211000022112100 is an apocalyptic number.

11000022112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000022112100 is an abundant number, since it is smaller than the sum of its proper divisors (16280521821340).

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

11000022112100 is a wasteful number, since it uses less digits than its factorization.

11000022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281757 (or 281750 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11000022112100 its reverse (121122000011), we get a palindrome (11121144112111).

The spelling of 11000022112100 in words is "eleven trillion, twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 76607 153214 205129 306428 383035 410258 536249 766070 820516 1025645 1072498 1435903 1532140 1915175 2051290 2144996 2681245 2871806 3830350 4102580 5128225 5362490 5743612 7179515 7660700 10256450 10724980 13406225 14359030 20512900 26812450 28718060 35897575 53624900 71795150 143590300 15714317303 31428634606 62857269212 78571586515 110000221121 157143173030 220000442242 314286346060 392857932575 440000884484 550001105605 785715865150 1100002211210 1571431730300 2200004422420 2750005528025 5500011056050 11000022112100