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11212210100 = 22527133833217
BaseRepresentation
bin10100111000100110…
…01011111110110100
31001221101202021202202
422130103023332310
5140430311210400
65052324324032
7544564133120
oct123423137664
931841667682
1011212210100
114834000443
12220ab43618
131098b98460
14785150580
1545950b4d5
hex29c4cbfb4

11212210100 has 144 divisors (see below), whose sum is σ = 30032744448. Its totient is φ = 3538114560.

The previous prime is 11212210063. The next prime is 11212210133. The reversal of 11212210100 is 101221211.

It is a congruent number.

It is an unprimeable number.

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, 3483692 + ... + 3486908.

Almost surely, 211212210100 is an apocalyptic number.

11212210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016372224).

11212210100 is an abundant number, since it is smaller than the sum of its proper divisors (18820534348).

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

11212210100 is a wasteful number, since it uses less digits than its factorization.

11212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11212210100 its reverse (101221211), we get a palindrome (11313431311).

The spelling of 11212210100 in words is "eleven billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 383 455 650 700 766 910 1300 1532 1820 1915 2275 2681 3217 3830 4550 4979 5362 6434 7660 9100 9575 9958 10724 12868 13405 16085 19150 19916 22519 24895 26810 32170 34853 38300 41821 45038 49790 53620 64340 67025 69706 80425 83642 90076 99580 112595 124475 134050 139412 160850 167284 174265 209105 225190 248950 268100 292747 321700 348530 418210 450380 497900 562975 585494 697060 836420 871325 1045525 1125950 1170988 1232111 1463735 1742650 2091050 2251900 2464222 2927470 3485300 4182100 4928444 5854940 6160555 7318675 8624777 12321110 14637350 16017443 17249554 24642220 29274700 30802775 32034886 34499108 43123885 61605550 64069772 80087215 86247770 112122101 123211100 160174430 172495540 215619425 224244202 320348860 400436075 431238850 448488404 560610505 800872150 862477700 1121221010 1601744300 2242442020 2803052525 5606105050 11212210100