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1122201011100 = 22352131012848949
BaseRepresentation
bin10000010101001000011…
…001001000001110011100
310222021121010011222121010
4100111020121020032130
5121341231424323400
62215310530135220
7144035121131301
oct20251031101634
93867533158533
101122201011100
113a2a17240254
121615a6a21510
1381a91479830
143c459c110a8
151e2cea88450
hex1054864839c

1122201011100 has 144 divisors (see below), whose sum is σ = 3531284920800. Its totient is φ = 273499008000.

The previous prime is 1122201011083. The next prime is 1122201011117. The reversal of 1122201011100 is 11101022211.

It is an interprime number because it is at equal distance from previous prime (1122201011083) and next prime (1122201011117).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030575 + ... + 1818374.

It is an arithmetic number, because the mean of its divisors is an integer number (24522811950).

Almost surely, 21122201011100 is an apocalyptic number.

1122201011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122201011100 is an abundant number, since it is smaller than the sum of its proper divisors (2409083909700).

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

1122201011100 is a wasteful number, since it uses less digits than its factorization.

1122201011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849080 (or 2849073 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122201011100 its reverse (11101022211), we get a palindrome (1133302033311).

The spelling of 1122201011100 in words is "one trillion, one hundred twenty-two billion, two hundred one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 390 404 505 606 650 780 975 1010 1212 1300 1313 1515 1950 2020 2525 2626 3030 3900 3939 5050 5252 6060 6565 7575 7878 10100 13130 15150 15756 19695 26260 30300 32825 39390 65650 78780 98475 131300 196950 393900 2848949 5697898 8546847 11395796 14244745 17093694 28489490 34187388 37036337 42734235 56978980 71223725 74072674 85468470 111109011 142447450 148145348 170936940 185181685 213671175 222218022 284894900 287743849 370363370 427342350 444436044 555545055 575487698 740726740 854684700 863231547 925908425 1111090110 1150975396 1438719245 1726463094 1851816850 2222180220 2777725275 2877438490 3452926188 3703633700 3740670037 4316157735 5555450550 5754876980 7193596225 7481340074 8632315470 11110901100 11222010111 14387192450 14962680148 17264630940 18703350185 21580788675 22444020222 28774384900 37406700370 43161577350 44888040444 56110050555 74813400740 86323154700 93516750925 112220101110 187033501850 224440202220 280550252775 374067003700 561100505550 1122201011100