Search a number
-
+
11100100220220 = 22351117053986239
BaseRepresentation
bin1010000110000111000110…
…0001111101010100111100
31110022011022001212201212010
42201201301201331110330
52423331001124021340
635335152102411220
72223645555052134
oct241416141752474
943264261781763
1011100100220220
11359a587216a40
1212b3335130b10
136269729235ab
142a5367a43ac4
15143b145ddb80
hexa187187d53c

11100100220220 has 96 divisors (see below), whose sum is σ = 33907783311360. Its totient is φ = 2690772860160.

The previous prime is 11100100220213. The next prime is 11100100220239. The reversal of 11100100220220 is 2202200100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100100220196 and 11100100220205.

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, 10761861 + ... + 11748099.

It is an arithmetic number, because the mean of its divisors is an integer number (353206076160).

Almost surely, 211100100220220 is an apocalyptic number.

11100100220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100100220220 is an abundant number, since it is smaller than the sum of its proper divisors (22807683091140).

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

11100100220220 is a wasteful number, since it uses less digits than its factorization.

11100100220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003315 (or 1003313 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100100220220 its reverse (2202200100111), we get a palindrome (13302300320331).

The spelling of 11100100220220 in words is "eleven trillion, one hundred billion, one hundred million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 17053 34106 51159 68212 85265 102318 170530 187583 204636 255795 341060 375166 511590 562749 750332 937915 986239 1023180 1125498 1875830 1972478 2250996 2813745 2958717 3751660 3944956 4931195 5627490 5917434 9862390 10848629 11254980 11834868 14793585 19724780 21697258 29587170 32545887 43394516 54243145 59174340 65091774 108486290 130183548 162729435 216972580 325458870 650917740 16818333667 33636667334 50455001001 67273334668 84091668335 100910002002 168183336670 185001670337 201820004004 252275005005 336366673340 370003340674 504550010010 555005011011 740006681348 925008351685 1009100020020 1110010022022 1850016703370 2220020044044 2775025055055 3700033406740 5550050110110 11100100220220