Search a number
-
+
214311304221 = 3741394363127
BaseRepresentation
bin1100011110010111110…
…0101111110000011101
3202111011201112021011220
43013211330233300131
512002402143213341
6242241523003553
721324556013010
oct3074574576035
9674151467156
10214311304221
1182986164953
12356505095b9
1317295286221
14a530a71377
155894a9aa66
hex31e5f2fc1d

214311304221 has 32 divisors (see below), whose sum is σ = 334624862208. Its totient is φ = 119444492160.

The previous prime is 214311304171. The next prime is 214311304237. The reversal of 214311304221 is 122403113412.

It is not a de Polignac number, because 214311304221 - 26 = 214311304157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214311304191 and 214311304200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214311304721) 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, 3363360 + ... + 3426486.

It is an arithmetic number, because the mean of its divisors is an integer number (10457026944).

Almost surely, 2214311304221 is an apocalyptic number.

214311304221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214311304221 is a deficient number, since it is larger than the sum of its proper divisors (120313557987).

214311304221 is a wasteful number, since it uses less digits than its factorization.

214311304221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67121.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 214311304221 its reverse (122403113412), we get a palindrome (336714417633).

The spelling of 214311304221 in words is "two hundred fourteen billion, three hundred eleven million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 3 7 21 41 123 287 861 3943 11829 27601 63127 82803 161663 189381 441889 484989 1131641 1325667 2588207 3394923 7764621 18117449 54352347 248909761 746729283 1742368327 5227104981 10205300201 30615900603 71437101407 214311304221