Search a number
-
+
21303203301 = 3261157439563
BaseRepresentation
bin10011110101110001…
…010001010111100101
32000222122201212002200
4103311301101113211
5322112110001201
613441521325113
71352625145302
oct236561212745
960878655080
1021303203301
119042114a46
124166496799
132016694953
1410613dc0a9
1584a390386
hex4f5c515e5

21303203301 has 48 divisors (see below), whose sum is σ = 31602679680. Its totient is φ = 13824120960.

The previous prime is 21303203297. The next prime is 21303203309. The reversal of 21303203301 is 10330230312.

21303203301 is a `hidden beast` number, since 2 + 13 + 0 + 320 + 330 + 1 = 666.

It is not a de Polignac number, because 21303203301 - 22 = 21303203297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303203309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37838446 + ... + 37839008.

It is an arithmetic number, because the mean of its divisors is an integer number (658389160).

Almost surely, 221303203301 is an apocalyptic number.

It is an amenable number.

21303203301 is a deficient number, since it is larger than the sum of its proper divisors (10299476379).

21303203301 is a wasteful number, since it uses less digits than its factorization.

21303203301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21303203301 its reverse (10330230312), we get a palindrome (31633433613).

The spelling of 21303203301 in words is "twenty-one billion, three hundred three million, two hundred three thousand, three hundred one".

Divisors: 1 3 9 61 157 183 439 471 549 563 1317 1413 1689 3951 5067 9577 26779 28731 34343 68923 80337 86193 88391 103029 206769 241011 247157 265173 309087 620307 741471 795519 2224413 4204303 5391851 12612909 15076577 16175553 37838727 38803649 45229731 48526659 116410947 135689193 349232841 2367022589 7101067767 21303203301