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11221222112100 = 2232527211133748091
BaseRepresentation
bin1010001101001010010011…
…1101010011101101100100
31110201201221021002100200200
42203102210331103231210
52432322030330041400
635510542553110500
72235464226126300
oct243224475235544
943651837070620
1011221222112100
113636991389030
1213128b86b8430
13635206384bc0
142ab177d86d00
15146d52d01b00
hexa34a4f53b64

11221222112100 has 1296 divisors, whose sum is σ = 49367786884416. Its totient is φ = 2094107904000.

The previous prime is 11221222112059. The next prime is 11221222112117. The reversal of 11221222112100 is 121122212211.

11221222112100 is a `hidden beast` number, since 1 + 1 + 221 + 22 + 211 + 210 + 0 = 666.

11221222112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 233309055 + ... + 233357145.

Almost surely, 211221222112100 is an apocalyptic number.

11221222112100 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 11221222112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24683893442208).

11221222112100 is an abundant number, since it is smaller than the sum of its proper divisors (38146564772316).

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

11221222112100 is a wasteful number, since it uses less digits than its factorization.

11221222112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48186 (or 48169 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11221222112100 its reverse (121122212211), we get a palindrome (11342344324311).

The spelling of 11221222112100 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twelve thousand, one hundred".