Search a number
-
+
11201010121000 = 235371600144303
BaseRepresentation
bin1010001011111111000000…
…1110101011100100101000
31110122210202122122211022201
42202333300032223210220
52432004132042333000
635453401212025544
72234150321053450
oct242776016534450
943583678584281
1011201010121000
11362935a226a57
12130a9b77622b4
13633334ab505b
142aa1bb87ad60
1514656d65d96a
hexa2ff03ab928

11201010121000 has 64 divisors (see below), whose sum is σ = 29954701370880. Its totient is φ = 3840346324800.

The previous prime is 11201010120917. The next prime is 11201010121031. The reversal of 11201010121000 is 12101010211.

11201010121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800065152 + ... + 800079151.

It is an arithmetic number, because the mean of its divisors is an integer number (468042208920).

Almost surely, 211201010121000 is an apocalyptic number.

11201010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201010121000 is an abundant number, since it is smaller than the sum of its proper divisors (18753691249880).

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

11201010121000 is a wasteful number, since it uses less digits than its factorization.

11201010121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600144331 (or 1600144317 counting only the distinct ones).

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

Adding to 11201010121000 its reverse (12101010211), we get a palindrome (11213111131211).

The spelling of 11201010121000 in words is "eleven trillion, two hundred one billion, ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 1600144303 3200288606 6400577212 8000721515 11201010121 12801154424 16001443030 22402020242 32002886060 40003607575 44804040484 56005050605 64005772120 80007215150 89608080968 112010101210 160014430300 200018037875 224020202420 280025253025 320028860600 400036075750 448040404840 560050506050 800072151500 1120101012100 1400126265125 1600144303000 2240202024200 2800252530250 5600505060500 11201010121000