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212121131221301 = 171923311376723127
BaseRepresentation
bin110000001110110001001100…
…101011010000000100110101
31000211001120201100110202202112
4300032301030223100010311
5210300343034043040201
62031051034042020405
762452150242611651
oct6016611453200465
91024046640422675
10212121131221301
1161652080651605
121b95a5b57a7705
139148c24328633
143a54a08c93a61
15197cb564170bb
hexc0ec4cad0135

212121131221301 has 64 divisors (see below), whose sum is σ = 256515839262720. Its totient is φ = 173798723450880.

The previous prime is 212121131221283. The next prime is 212121131221327. The reversal of 212121131221301 is 103122131121212.

It is a de Polignac number, because none of the positive numbers 2k-212121131221301 is a prime.

It is a super-2 number, since 2×2121211312213012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212121131221361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28189400 + ... + 34912526.

It is an arithmetic number, because the mean of its divisors is an integer number (4008059988480).

Almost surely, 2212121131221301 is an apocalyptic number.

It is an amenable number.

212121131221301 is a deficient number, since it is larger than the sum of its proper divisors (44394708041419).

212121131221301 is a wasteful number, since it uses less digits than its factorization.

212121131221301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723354.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 212121131221301 its reverse (103122131121212), we get a palindrome (315243262342513).

The spelling of 212121131221301 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred one".

Divisors: 1 17 19 23 31 137 323 391 437 527 589 713 2329 2603 3151 4247 7429 10013 12121 13547 44251 53567 59869 72199 80693 97681 230299 1017773 1371781 1660577 1855939 6723127 31550963 114293159 127739413 154631921 208416937 921068399 2171570021 2628742657 2938006499 3543087929 3959921803 4793589551 15658162783 17500299581 21184573177 28553120369 49946110483 67318670651 81491022367 91078201469 297505092877 360137744009 402506890363 485403046273 542509287011 656721768487 1548329424973 6842617136171 9222657879187 11164270064279 12477713601253 212121131221301