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11221101000213 = 3132328144518109
BaseRepresentation
bin1010001101001001110110…
…1111010011011000010101
31110201201121211012020102020
42203102131233103120111
52432321303324001323
635510522545203353
72235461225524356
oct243223557233025
943651554166366
1011221101000213
113636929a87965
121312884030559
136351b725bb70
142ab165c5bd2d
15146d4737bae3
hexa349dbd3615

11221101000213 has 32 divisors (see below), whose sum is σ = 16872719834880. Its totient is φ = 6581557086720.

The previous prime is 11221101000199. The next prime is 11221101000227. The reversal of 11221101000213 is 31200010112211.

It is an interprime number because it is at equal distance from previous prime (11221101000199) and next prime (11221101000227).

It is not a de Polignac number, because 11221101000213 - 25 = 11221101000181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221101000192 and 11221101000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221101000113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22006998 + ... + 22511111.

It is an arithmetic number, because the mean of its divisors is an integer number (527272494840).

Almost surely, 211221101000213 is an apocalyptic number.

11221101000213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11221101000213 is a deficient number, since it is larger than the sum of its proper divisors (5651618834667).

11221101000213 is a wasteful number, since it uses less digits than its factorization.

11221101000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44518429.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11221101000213 its reverse (31200010112211), we get a palindrome (42421111112424).

The spelling of 11221101000213 in words is "eleven trillion, two hundred twenty-one billion, one hundred one million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 13 23 39 69 281 299 843 897 3653 6463 10959 19389 84019 252057 44518109 133554327 578735417 1023916507 1736206251 3071749521 12509588629 13310914591 37528765887 39932743773 162624652177 287720538467 487873956531 863161615401 3740367000071 11221101000213