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212321121021 = 33103148751343
BaseRepresentation
bin1100010110111101010…
…0110011001011111101
3202022001000122111002000
43011233110303023331
511434313201333041
6241312230252513
721224341515432
oct3055724631375
9668030574060
10212321121021
1182054812849
1235195ab7139
1317038b68229
14a3c260db89
1557c9ec6bb6
hex316f5332fd

212321121021 has 32 divisors (see below), whose sum is σ = 317823467520. Its totient is φ = 140076173232.

The previous prime is 212321120993. The next prime is 212321121029. The reversal of 212321121021 is 120121123212.

It is not a de Polignac number, because 212321121021 - 211 = 212321118973 is a prime.

It is a super-2 number, since 2×2123211210212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212321120985 and 212321121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212321121029) 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 31 ways as a sum of consecutive naturals, for example, 4109676 + ... + 4161018.

It is an arithmetic number, because the mean of its divisors is an integer number (9931983360).

Almost surely, 2212321121021 is an apocalyptic number.

It is an amenable number.

212321121021 is a deficient number, since it is larger than the sum of its proper divisors (105502346499).

212321121021 is a wasteful number, since it uses less digits than its factorization.

212321121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52942 (or 52936 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212321121021 its reverse (120121123212), we get a palindrome (332442244233).

The spelling of 212321121021 in words is "two hundred twelve billion, three hundred twenty-one million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 27 103 309 927 1487 2781 4461 13383 40149 51343 153161 154029 459483 462087 1378449 1386261 4135347 5288329 15864987 47594961 76347041 142784883 229041123 687123369 2061370107 7863745223 23591235669 70773707007 212321121021