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4211111221 is a prime number
BaseRepresentation
bin1111101100000000…
…0111010100110101
3101212110221121121021
43323000013110311
532111021024341
61533510421141
7206232566122
oct37300072465
911773847537
104211111221
111871076209
129963617b1
135215992b5
142bd3c9749
15199a769d1
hexfb007535

4211111221 has 2 divisors, whose sum is σ = 4211111222. Its totient is φ = 4211111220.

The previous prime is 4211111209. The next prime is 4211111251. The reversal of 4211111221 is 1221111124.

4211111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2882508721 + 1328602500 = 53689^2 + 36450^2 .

It is a cyclic number.

It is not a de Polignac number, because 4211111221 - 211 = 4211109173 is a prime.

It is a super-2 number, since 2×42111112212 = 35466915431264221682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4211111195 and 4211111204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4211111251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2105555610 + 2105555611.

It is an arithmetic number, because the mean of its divisors is an integer number (2105555611).

Almost surely, 24211111221 is an apocalyptic number.

It is an amenable number.

4211111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

4211111221 is an equidigital number, since it uses as much as digits as its factorization.

4211111221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32, while the sum is 16.

The square root of 4211111221 is about 64893.0752931312. The cubic root of 4211111221 is about 1614.8501838425.

Adding to 4211111221 its reverse (1221111124), we get a palindrome (5432222345).

The spelling of 4211111221 in words is "four billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty-one".