Search a number
-
+
20303122221 = 323760970337
BaseRepresentation
bin10010111010001010…
…010000111100101101
31221101221220110202200
4102322022100330231
5313040044402341
613154354212113
71316062456104
oct227212207455
957357813680
1020303122221
118679646258
123b27584039
131bb74298b5
14da866d03b
157dc694db6
hex4ba290f2d

20303122221 has 12 divisors (see below), whose sum is σ = 30119346972. Its totient is φ = 13169592576.

The previous prime is 20303122139. The next prime is 20303122247. The reversal of 20303122221 is 12222130302.

20303122221 is a `hidden beast` number, since 20 + 303 + 122 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19324058121 + 979064100 = 139011^2 + 31290^2 .

It is not a de Polignac number, because 20303122221 - 222 = 20298927917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20303122194 and 20303122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30484836 + ... + 30485501.

It is an arithmetic number, because the mean of its divisors is an integer number (2509945581).

Almost surely, 220303122221 is an apocalyptic number.

It is an amenable number.

20303122221 is a deficient number, since it is larger than the sum of its proper divisors (9816224751).

20303122221 is a wasteful number, since it uses less digits than its factorization.

20303122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60970380 (or 60970377 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20303122221 its reverse (12222130302), we get a palindrome (32525252523).

The spelling of 20303122221 in words is "twenty billion, three hundred three million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 60970337 182911011 548733033 2255902469 6767707407 20303122221