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12213312203301 = 3116110160071477
BaseRepresentation
bin1011000110111010001000…
…1000101010101000100101
31121020120200201121210011120
42301232202020222220211
53100100330411001201
641550415042524153
72400245155560606
oct261564210525045
947216621553146
1012213312203301
11398970037a410
121453031666659
136a7930991c21
143031ada97dad
15162a69e16536
hexb1ba222aa25

12213312203301 has 32 divisors (see below), whose sum is σ = 18234817289856. Its totient is φ = 7208577120000.

The previous prime is 12213312203293. The next prime is 12213312203359. The reversal of 12213312203301 is 10330221331221.

It is not a de Polignac number, because 12213312203301 - 23 = 12213312203293 is a prime.

It is a super-2 number, since 2×122133122033012 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213312203381) 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 31 ways as a sum of consecutive naturals, for example, 29832426 + ... + 30239051.

It is an arithmetic number, because the mean of its divisors is an integer number (569838040308).

Almost surely, 212213312203301 is an apocalyptic number.

12213312203301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12213312203301 is a deficient number, since it is larger than the sum of its proper divisors (6021505086555).

12213312203301 is a wasteful number, since it uses less digits than its factorization.

12213312203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60071653.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12213312203301 its reverse (10330221331221), we get a palindrome (22543533534522).

The spelling of 12213312203301 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, two hundred three thousand, three hundred one".

Divisors: 1 3 11 33 61 101 183 303 671 1111 2013 3333 6161 18483 67771 203313 60071477 180214431 660786247 1982358741 3664360097 6067219177 10993080291 18201657531 40307961067 66739410947 120923883201 200218232841 370100369797 1110301109391 4071104067767 12213312203301