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4221313201 = 721916327817
BaseRepresentation
bin1111101110011100…
…0010000010110001
3101220012010221002101
43323213002002301
532121124010301
61534513220401
7206415366400
oct37347020261
911805127071
104221313201
1118769040a6
12999861701
1352372ba81
142c08c3637
1519a8de701
hexfb9c20b1

4221313201 has 24 divisors (see below), whose sum is σ = 5200853280. Its totient is φ = 3406681152.

The previous prime is 4221313181. The next prime is 4221313223. The reversal of 4221313201 is 1023131224.

It is a happy number.

4221313201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4221313201 - 221 = 4219216049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4221313241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137845 + ... + 165661.

It is an arithmetic number, because the mean of its divisors is an integer number (216702220).

Almost surely, 24221313201 is an apocalyptic number.

It is an amenable number.

4221313201 is a deficient number, since it is larger than the sum of its proper divisors (979540079).

4221313201 is a wasteful number, since it uses less digits than its factorization.

4221313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28013 (or 28006 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4221313201 is about 64971.6338181517. The cubic root of 4221313201 is about 1616.1531956654.

Adding to 4221313201 its reverse (1023131224), we get a palindrome (5244444425).

The spelling of 4221313201 in words is "four billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred one".

Divisors: 1 7 19 49 133 163 931 1141 3097 7987 21679 27817 151753 194719 528523 1363033 3699661 4534171 25897627 31739197 86149249 222174379 603044743 4221313201