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12111220000100 = 2252139316323077
BaseRepresentation
bin1011000000111101110011…
…1101110100010101100100
31120212211011202010111200102
42300033130331310111210
53041412234310000400
641431452340403232
72360002215300404
oct260173475642544
946784152114612
1012111220000100
11394a380a51061
12143729b0a6518
1369b110894430
142dc286c1a804
151600921a49d5
hexb03dcf74564

12111220000100 has 36 divisors (see below), whose sum is σ = 28302989510964. Its totient is φ = 4471835076480.

The previous prime is 12111220000067. The next prime is 12111220000111. The reversal of 12111220000100 is 100002211121.

It can be written as a sum of positive squares in 6 ways, for example, as 595527063616 + 11515692936484 = 771704^2 + 3393478^2 .

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 11 ways as a sum of consecutive naturals, for example, 4658160239 + ... + 4658162838.

Almost surely, 212111220000100 is an apocalyptic number.

12111220000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111220000100 is an abundant number, since it is smaller than the sum of its proper divisors (16191769510864).

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

12111220000100 is a wasteful number, since it uses less digits than its factorization.

12111220000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316323104 (or 9316323097 counting only the distinct ones).

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

Adding to 12111220000100 its reverse (100002211121), we get a palindrome (12211222211221).

The spelling of 12111220000100 in words is "twelve trillion, one hundred eleven billion, two hundred twenty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9316323077 18632646154 37265292308 46581615385 93163230770 121112200001 186326461540 232908076925 242224400002 465816153850 484448800004 605561000005 931632307700 1211122000010 2422244000020 3027805000025 6055610000050 12111220000100