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212110102220321 = 1249239980938747
BaseRepresentation
bin110000001110100110111011…
…010010111100111000100001
31000211000112020201110110122202
4300032212323102330320201
5210300202442132022241
62031042011420142545
762451310031631104
oct6016467322747041
91024015221413582
10212110102220321
1161648431005968
121b958438097a55
139147b873b8956
143a542801d473b
15197c70d049d9b
hexc0e9bb4bce21

212110102220321 has 16 divisors (see below), whose sum is σ = 212418936000000. Its totient is φ = 211801538876928.

The previous prime is 212110102220297. The next prime is 212110102220323. The reversal of 212110102220321 is 123022201011212.

212110102220321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212110102220321 - 26 = 212110102220257 is a prime.

It is a super-3 number, since 3×2121101022203213 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212110102220293 and 212110102220302.

It is not an unprimeable number, because it can be changed into a prime (212110102220323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24249464270 + ... + 24249473016.

It is an arithmetic number, because the mean of its divisors is an integer number (13276183500000).

Almost surely, 2212110102220321 is an apocalyptic number.

It is an amenable number.

212110102220321 is a deficient number, since it is larger than the sum of its proper divisors (308833779679).

212110102220321 is a wasteful number, since it uses less digits than its factorization.

212110102220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20488.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212110102220321 its reverse (123022201011212), we get a palindrome (335132303231533).

The spelling of 212110102220321 in words is "two hundred twelve trillion, one hundred ten billion, one hundred two million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 1249 2399 8093 8747 2996351 10108157 10925003 19415107 20984053 70789471 24249468643 26209082197 88416049279 169823940929 212110102220321