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11101222220220 = 223251116747334787
BaseRepresentation
bin1010000110001011010001…
…1010000011000110111100
31110022021012021010020111200
42201202310122003012330
52423340300342021340
635335455303015500
72224015430644146
oct241426432030674
943267167106450
1011101222220220
1135a0002598170
1212b35a8a3a590
13626ac1207b12
142a5432a6bc96
15143b7cd6d330
hexa18b46831bc

11101222220220 has 144 divisors (see below), whose sum is σ = 36737256786048. Its totient is φ = 2691036650880.

The previous prime is 11101222220213. The next prime is 11101222220227. The reversal of 11101222220220 is 2202222210111.

It is a happy number.

11101222220220 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 1 + 222 + 220 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (11101222220213) and next prime (11101222220227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11101222220193 and 11101222220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101222220227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32991667 + ... + 33326453.

It is an arithmetic number, because the mean of its divisors is an integer number (255119838792).

Almost surely, 211101222220220 is an apocalyptic number.

11101222220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101222220220 is an abundant number, since it is smaller than the sum of its proper divisors (25636034565828).

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

11101222220220 is a wasteful number, since it uses less digits than its factorization.

11101222220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351560 (or 351555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11101222220220 its reverse (2202222210111), we get a palindrome (13303444430331).

The spelling of 11101222220220 in words is "eleven trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 16747 33494 50241 66988 83735 100482 150723 167470 184217 200964 251205 301446 334787 334940 368434 502410 552651 602892 669574 736868 753615 921085 1004361 1004820 1105302 1339148 1507230 1657953 1673935 1842170 2008722 2210604 2763255 3013083 3014460 3315906 3347870 3682657 3684340 4017444 5021805 5526510 6026166 6631812 6695740 7365314 8289765 10043610 11047971 11053020 12052332 14730628 15065415 16579530 18413285 20087220 22095942 30130830 33143913 33159060 36826570 44191884 55239855 60261660 66287826 73653140 110479710 132575652 165719565 220959420 331439130 662878260 5606677889 11213355778 16820033667 22426711556 28033389445 33640067334 50460101001 56066778890 61673456779 67280134668 84100168335 100920202002 112133557780 123346913558 168200336670 185020370337 201840404004 246693827116 252300505005 308367283895 336400673340 370040740674 504601010010 555061111011 616734567790 740081481348 925101851685 1009202020020 1110122222022 1233469135580 1850203703370 2220244444044 2775305555055 3700407406740 5550611110110 11101222220220