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220212122220101 = 112251257161317491
BaseRepresentation
bin110010000100100000100001…
…010100011111011001000101
31001212201001222102110211112102
4302010200201110133121011
5212330423411242020401
62100204015151001445
764245541450426124
oct6204404124373105
91055631872424472
10220212122220101
1164191489090a00
1220846702209285
1395b4bb6149b8b
143c54475cb7abb
151a6d35170d56b
hexc8482151f645

220212122220101 has 48 divisors (see below), whose sum is σ = 244126478643264. Its totient is φ = 198484915200000.

The previous prime is 220212122220059. The next prime is 220212122220137. The reversal of 220212122220101 is 101022221212022.

It is not a de Polignac number, because 220212122220101 - 26 = 220212122220037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212122220191) 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, 12590015966 + ... + 12590033456.

It is an arithmetic number, because the mean of its divisors is an integer number (5085968305068).

Almost surely, 2220212122220101 is an apocalyptic number.

It is an amenable number.

220212122220101 is a deficient number, since it is larger than the sum of its proper divisors (23914356423163).

220212122220101 is a wasteful number, since it uses less digits than its factorization.

220212122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19634 (or 19623 counting only the distinct ones).

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

Adding to 220212122220101 its reverse (101022221212022), we get a palindrome (321234343432123).

The spelling of 220212122220101 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 11 121 251 257 1613 2761 2827 17491 17743 30371 31097 64507 192401 195173 404863 414541 709577 2116411 4390241 4453493 4495187 4559951 7805347 28212983 48292651 48988423 49447057 50159461 104049791 310342813 531219161 543917627 1128291937 1144547701 3413770943 7081458733 7250736631 12411211307 12590024711 77896046063 79758102941 136523324377 856856506693 877339132351 1819934894381 20019283838191 220212122220101