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221012344303101 = 32133919785361379
BaseRepresentation
bin110010010000001001110010…
…010001011110110111111101
31001222112120111021111120010100
4302100021302101132313331
5212432031240120144401
62102015400323231313
764360420632051351
oct6220116221366775
91058476437446110
10221012344303101
116446a89964096a
122095580ab18539
1396424b41130c0
143c810a992d461
151a8408926cb86
hexc9027245edfd

221012344303101 has 48 divisors (see below), whose sum is σ = 343934099308800. Its totient is φ = 135953362037376.

The previous prime is 221012344303033. The next prime is 221012344303147. The reversal of 221012344303101 is 101303443210122.

221012344303101 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 1 + 2 + 344 + 3 + 0 + 310 + 1 = 666.

It is not a de Polignac number, because 221012344303101 - 211 = 221012344301053 is a prime.

It is a super-2 number, since 2×2210123443031012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012344303151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3600750430 + ... + 3600811808.

It is an arithmetic number, because the mean of its divisors is an integer number (7165293735600).

Almost surely, 2221012344303101 is an apocalyptic number.

It is an amenable number.

221012344303101 is a deficient number, since it is larger than the sum of its proper divisors (122921755005699).

221012344303101 is a wasteful number, since it uses less digits than its factorization.

221012344303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73170 (or 73167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221012344303101 its reverse (101303443210122), we get a palindrome (322315787513223).

The spelling of 221012344303101 in words is "two hundred twenty-one trillion, twelve billion, three hundred forty-four million, three hundred three thousand, one hundred one".

Divisors: 1 3 9 13 39 117 3919 7853 11757 23559 35271 50947 61379 70677 102089 152841 184137 306267 458523 552411 797927 918801 2393781 7181343 30775907 92327721 240544301 276983163 400086791 482009287 721632903 1200260373 1446027861 2164898709 3127075913 3600781119 4338083583 6266120731 9381227739 18798362193 28143683217 56395086579 1888994395753 5666983187259 17000949561777 24556927144789 73670781434367 221012344303101