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220210012121211 = 32727112246957383
BaseRepresentation
bin110010000100011110100011…
…100011000110100001111011
31001212200212112100221201000200
4302010132203203012201323
5212330410101100334321
62100203025532133243
764245435246041250
oct6204364343064173
91055625470851020
10220210012121211
11641905a5a85422
1220846213607223
1395b493ac34458
143c5431595d427
151a6d27b34dd26
hexc847a38c687b

220210012121211 has 48 divisors (see below), whose sum is σ = 363677903447040. Its totient is φ = 125780086186560.

The previous prime is 220210012121201. The next prime is 220210012121213. The reversal of 220210012121211 is 112121210012022.

220210012121211 is a `hidden beast` number, since 220 + 2 + 100 + 12 + 121 + 211 = 666.

It is not a de Polignac number, because 220210012121211 - 229 = 220209475250299 is a prime.

It is a super-2 number, since 2×2202100121212112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220210012121213) 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 47 ways as a sum of consecutive naturals, for example, 3837519226 + ... + 3837576608.

It is an arithmetic number, because the mean of its divisors is an integer number (7576622988480).

Almost surely, 2220210012121211 is an apocalyptic number.

220210012121211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

220210012121211 is a deficient number, since it is larger than the sum of its proper divisors (143467891325829).

220210012121211 is a wasteful number, since it uses less digits than its factorization.

220210012121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82576 (or 82573 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220210012121211 its reverse (112121210012022), we get a palindrome (332331222133233).

The spelling of 220210012121211 in words is "two hundred twenty trillion, two hundred ten billion, twelve million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 63 2711 8133 18977 22469 24399 56931 57383 67407 157283 170793 172149 202221 401681 471849 516447 1205043 1415547 3615129 60913459 155565313 182740377 426394213 466695939 548221131 1088957191 1279182639 1289338627 1400087817 3266871573 3837547917 3868015881 9025370389 9800614719 11604047643 27076111167 81228333501 3495397017797 10486191053391 24467779124579 31458573160173 73403337373737 220210012121211