Search a number
-
+
11201002112220 = 2235451741329061
BaseRepresentation
bin1010001011111110111111…
…0000001000010011011100
31110122210202002120221100020
42202333233300020103130
52432004123020042340
635453400324232140
72234150163016314
oct242775760102334
943583662527306
1011201002112220
113629355756928
12130a9b4b3b650
1363333323c92b
142aa1ba794444
1514656caca9d0
hexa2fefc084dc

11201002112220 has 48 divisors (see below), whose sum is σ = 31369749955488. Its totient is φ = 2986272559360.

The previous prime is 11201002112203. The next prime is 11201002112233. The reversal of 11201002112220 is 2221120010211.

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 11201002112220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20393511 + ... + 20935550.

It is an arithmetic number, because the mean of its divisors is an integer number (653536457406).

Almost surely, 211201002112220 is an apocalyptic number.

11201002112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201002112220 is an abundant number, since it is smaller than the sum of its proper divisors (20168747843268).

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

11201002112220 is a wasteful number, since it uses less digits than its factorization.

11201002112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41333590 (or 41333588 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11201002112220 its reverse (2221120010211), we get a palindrome (13422122122431).

The spelling of 11201002112220 in words is "eleven trillion, two hundred one billion, two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4517 9034 13551 18068 22585 27102 45170 54204 67755 90340 135510 271020 41329061 82658122 123987183 165316244 206645305 247974366 413290610 495948732 619935915 826581220 1239871830 2479743660 186683368537 373366737074 560050105611 746733474148 933416842685 1120100211222 1866833685370 2240200422444 2800250528055 3733667370740 5600501056110 11201002112220