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213322131220121 = 71126471346928901
BaseRepresentation
bin110000100000001111101101…
…110110101010011010011001
31000222022101201002212002020022
4300200033231312222122121
5210430032211043020441
62033410500104040225
762635005163302320
oct6040175566523231
91028271632762208
10213322131220121
1161a75453860600
121bb13312163075
139205262b4cb01
143a96bbc1290b7
15199dee8cd384b
hexc203eddaa699

213322131220121 has 48 divisors (see below), whose sum is σ = 268418302951680. Its totient is φ = 165950056272000.

The previous prime is 213322131220091. The next prime is 213322131220129. The reversal of 213322131220121 is 121022131223312.

213322131220121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213322131220121 - 210 = 213322131219097 is a prime.

It is a super-3 number, since 3×2133221312201213 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213322131220129) 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, 7381118771 + ... + 7381147671.

It is an arithmetic number, because the mean of its divisors is an integer number (5592047978160).

Almost surely, 2213322131220121 is an apocalyptic number.

It is an amenable number.

213322131220121 is a deficient number, since it is larger than the sum of its proper divisors (55096171731559).

213322131220121 is a wasteful number, since it uses less digits than its factorization.

213322131220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43046 (or 43035 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 213322131220121 its reverse (121022131223312), we get a palindrome (334344262443433).

The spelling of 213322131220121 in words is "two hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 77 121 647 847 4529 7117 13469 28901 49819 78287 94283 148159 202307 317911 548009 1037113 1629749 2225377 3497021 8714443 11408243 18698947 24479147 61001101 95858873 130892629 205688417 389267569 671012111 1054447603 1439818919 2262572587 2724872983 4281943259 7381133221 15838008109 29973602813 47101375849 251856117143 329709630943 1762992820001 2770417288573 19392921020011 30474590174303 213322131220121