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11212112002200 = 2335229644374253
BaseRepresentation
bin1010001100101000010111…
…1100111111110010011000
31110200212102100210211021220
42203022011330333302120
52432144401133032300
635502434555532040
72235022405355154
oct243120574776230
943625370724256
1011212112002200
113633036a2068a
121310b9575a020
136343b3b61525
142aa9520ac064
151469bd124da0
hexa3285f3fc98

11212112002200 has 96 divisors (see below), whose sum is σ = 35956083373200. Its totient is φ = 2886796648960.

The previous prime is 11212112002187. The next prime is 11212112002237. The reversal of 11212112002200 is 220021121211.

It is a super-2 number, since 2×112121120022002 (a number of 27 digits) contains 22 as substring.

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 11212112002200.

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 23 ways as a sum of consecutive naturals, for example, 322169727 + ... + 322204526.

Almost surely, 211212112002200 is an apocalyptic number.

11212112002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212112002200 is an abundant number, since it is smaller than the sum of its proper divisors (24743971371000).

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

11212112002200 is a wasteful number, since it uses less digits than its factorization.

11212112002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644374301 (or 644374292 counting only the distinct ones).

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

Adding to 11212112002200 its reverse (220021121211), we get a palindrome (11432133123411).

The spelling of 11212112002200 in words is "eleven trillion, two hundred twelve billion, one hundred twelve million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 644374253 1288748506 1933122759 2577497012 3221871265 3866245518 5154994024 6443742530 7732491036 9665613795 12887485060 15464982072 16109356325 18686853337 19331227590 25774970120 32218712650 37373706674 38662455180 48328068975 56060560011 64437425300 74747413348 77324910360 93434266685 96656137950 112121120022 128874850600 149494826696 186868533370 193312275900 224242240044 280302800055 373737066740 386624551800 448484480088 467171333425 560605600110 747474133480 934342666850 1121211200220 1401514000275 1868685333700 2242422400440 2803028000550 3737370667400 5606056001100 11212112002200