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11220221201201 = 349163011972249
BaseRepresentation
bin1010001101000110100101…
…0011001000101100110001
31110201122100111200211001122
42203101221103020230301
52432313003111414301
635510255400112025
72235430353412565
oct243215123105461
943648314624048
1011220221201201
1136365183a2941
121312679465615
136350a6bb922c
142ab0c107d6a5
15146ce4ee081b
hexa34694c8b31

11220221201201 has 8 divisors (see below), whose sum is σ = 11253066825000. Its totient is φ = 11187379555200.

The previous prime is 11220221201173. The next prime is 11220221201207. The reversal of 11220221201201 is 10210212202211.

It can be written as a sum of positive squares in 4 ways, for example, as 5463695877025 + 5756525324176 = 2337455^2 + 2399276^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11220221201201 is a prime.

It is a super-2 number, since 2×112202212012012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11220221201201.

It is not an unprimeable number, because it can be changed into a prime (11220221201207) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4702925 + ... + 6675173.

It is an arithmetic number, because the mean of its divisors is an integer number (1406633353125).

Almost surely, 211220221201201 is an apocalyptic number.

It is an amenable number.

11220221201201 is a deficient number, since it is larger than the sum of its proper divisors (32845623799).

11220221201201 is a wasteful number, since it uses less digits than its factorization.

11220221201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988899.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11220221201201 its reverse (10210212202211), we get a palindrome (21430433403412).

The spelling of 11220221201201 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-one million, two hundred one thousand, two hundred one".

Divisors: 1 349 16301 1972249 5689049 688314901 32149630949 11220221201201