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11220021011221 = 1129241178381853
BaseRepresentation
bin1010001101000101110101…
…0111011110001100010101
31110201121211120000010000221
42203101131113132030111
52432312100334324341
635510223445234341
72235422403004411
oct243213527361425
943647746003027
1011220021011221
1136364253a0180
1213126224029b1
13635074596619
142ab0a264bd41
15146cd2649ed1
hexa345d5de315

11220021011221 has 32 divisors (see below), whose sum is σ = 12721918936320. Its totient is φ = 9801809740800.

The previous prime is 11220021011219. The next prime is 11220021011261. The reversal of 11220021011221 is 12211012002211.

It is not a de Polignac number, because 11220021011221 - 21 = 11220021011219 is a prime.

It is a super-2 number, since 2×112200210112212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220021011195 and 11220021011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220021011261) 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, 137034331 + ... + 137116183.

It is an arithmetic number, because the mean of its divisors is an integer number (397559966760).

Almost surely, 211220021011221 is an apocalyptic number.

11220021011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220021011221 is a deficient number, since it is larger than the sum of its proper divisors (1501897925099).

11220021011221 is a wasteful number, since it uses less digits than its factorization.

11220021011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83917.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11220021011221 its reverse (12211012002211), we get a palindrome (23431033013432).

The spelling of 11220021011221 in words is "eleven trillion, two hundred twenty billion, twenty-one million, eleven thousand, two hundred twenty-one".

Divisors: 1 11 29 241 319 1783 2651 6989 19613 51707 76879 81853 429703 568777 900383 2373737 4726733 12461387 19726573 26111107 137075257 145943899 216992303 572070617 1605382889 4232373071 6292776787 35172479659 46556103781 386897276249 1020001910111 11220021011221