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220200201111121 = 72114611144777417
BaseRepresentation
bin110010000100010101011010…
…110001000100011001010001
31001212122221012121210202022121
4302010111122301010121101
5212330230002441023441
62100154324220134241
764244640154606300
oct6204253261043121
91055587177722277
10220200201111121
1164187420a13320
1220844335997381
1395b3a36447a3a
143c53a64954437
151a6cda4d72dd1
hexc8455ac44651

220200201111121 has 48 divisors (see below), whose sum is σ = 280071969674112. Its totient is φ = 171195203155200.

The previous prime is 220200201111053. The next prime is 220200201111181. The reversal of 220200201111121 is 121111102002022.

It is not a de Polignac number, because 220200201111121 - 213 = 220200201102929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220200201111095 and 220200201111104.

It is not an unprimeable number, because it can be changed into a prime (220200201111181) 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 47 ways as a sum of consecutive naturals, for example, 2844300405 + ... + 2844377821.

It is an arithmetic number, because the mean of its divisors is an integer number (5834832701544).

Almost surely, 2220200201111121 is an apocalyptic number.

It is an amenable number.

220200201111121 is a deficient number, since it is larger than the sum of its proper divisors (59871768562991).

220200201111121 is a wasteful number, since it uses less digits than its factorization.

220200201111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89350 (or 89343 counting only the distinct ones).

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

Adding to 220200201111121 its reverse (121111102002022), we get a palindrome (341311303113143).

The spelling of 220200201111121 in words is "two hundred twenty trillion, two hundred billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 49 77 461 539 3227 5071 11447 22589 35497 77417 80129 125917 248479 541919 560903 851587 881419 3793433 5277067 5961109 6169933 35689237 36939469 41727763 58047737 249824659 258576283 392581607 406334159 886192399 1748772613 2748071249 2844339113 6203346793 9748116389 19236498743 43423427551 68236814723 408534695939 477657703061 2859742871573 4493881655329 20018200101011 31457171587303 220200201111121