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220212212002211 = 111319472071983231
BaseRepresentation
bin110010000100100000100110…
…101010111110110110100011
31001212201002012200102020102202
4302010200212222332312203
5212330424102233032321
62100204032115203415
764245543620523422
oct6204404652766643
91055632180366382
10220212212002211
11641915248335a0
12208467282a656b
1395b4bcb9238a0
143c54483ba92b9
151a6d35954570b
hexc84826abeda3

220212212002211 has 64 divisors (see below), whose sum is σ = 278138172211200. Its totient is φ = 171332324150400.

The previous prime is 220212212002177. The next prime is 220212212002213. The reversal of 220212212002211 is 112200212212022.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220212212002211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220212212002213) 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 63 ways as a sum of consecutive naturals, for example, 2645753966 + ... + 2645837196.

It is an arithmetic number, because the mean of its divisors is an integer number (4345908940800).

Almost surely, 2220212212002211 is an apocalyptic number.

220212212002211 is a deficient number, since it is larger than the sum of its proper divisors (57925960208989).

220212212002211 is a wasteful number, since it uses less digits than its factorization.

220212212002211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104040.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220212212002211 its reverse (112200212212022), we get a palindrome (332412424214233).

The spelling of 220212212002211 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twelve million, two thousand, two hundred eleven".

Divisors: 1 11 13 19 47 143 209 247 517 611 893 2717 6721 9823 11609 20719 83231 127699 227909 269347 393661 915541 973793 1082003 1581389 2962817 3911857 4330271 5117593 10711723 11902033 12659309 17395279 18502067 20558057 43030427 50854141 56293523 74325283 139252399 203522737 226138627 240526871 559395551 817578113 966228679 1724463089 2645795581 10628515469 18969093979 22418020157 32764798691 81049765183 246598221727 360412785601 425942382983 891547417013 1053646947379 1539945538477 4685366212813 11590116421169 16939400923247 20019292000201 220212212002211