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20301313221 = 3274135921893
BaseRepresentation
bin10010111010000011…
…010111010011000101
31221101211111120021200
4102322003113103011
5313034114010341
613154251333113
71316041213050
oct227203272305
957354446250
1020301313221
118678620112
123b26a51199
131bb6c45397
14da831ba97
157dc438db6
hex4ba0d74c5

20301313221 has 48 divisors (see below), whose sum is σ = 34427877120. Its totient is φ = 11285763840.

The previous prime is 20301313189. The next prime is 20301313223. The reversal of 20301313221 is 12231310302.

It is not a de Polignac number, because 20301313221 - 25 = 20301313189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20301313194 and 20301313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301313223) 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 47 ways as a sum of consecutive naturals, for example, 916351 + ... + 938243.

It is an arithmetic number, because the mean of its divisors is an integer number (717247440).

Almost surely, 220301313221 is an apocalyptic number.

20301313221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20301313221 is a deficient number, since it is larger than the sum of its proper divisors (14126563899).

20301313221 is a wasteful number, since it uses less digits than its factorization.

20301313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22306 (or 22303 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20301313221 its reverse (12231310302), we get a palindrome (32532623523).

The spelling of 20301313221 in words is "twenty billion, three hundred one million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 41 63 123 287 359 369 861 1077 2513 2583 3231 7539 14719 21893 22617 44157 65679 103033 132471 153251 197037 309099 459753 897613 927297 1379259 2692839 6283291 7859587 8078517 18849873 23578761 55017109 56549619 70736283 165051327 322243067 495153981 966729201 2255701469 2900187603 6767104407 20301313221