Search a number
-
+
21312333231 = 3719208325643
BaseRepresentation
bin10011110110010100…
…000110010110101111
32001000021220201000020
4103312110012112233
5322121424130411
613442445133223
71353065562210
oct236624062657
961007821006
1021312333231
119047290442
12416955a213
132018540487
1410626d7407
1584b095606
hex4f65065af

21312333231 has 32 divisors (see below), whose sum is σ = 34202941440. Its totient is φ = 11531515104.

The previous prime is 21312333199. The next prime is 21312333241. The reversal of 21312333231 is 13233321312.

It is not a de Polignac number, because 21312333231 - 25 = 21312333199 is a prime.

It is a super-2 number, since 2×213123332312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312333241) 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 31 ways as a sum of consecutive naturals, for example, 818296 + ... + 843938.

It is an arithmetic number, because the mean of its divisors is an integer number (1068841920).

Almost surely, 221312333231 is an apocalyptic number.

21312333231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21312333231 is a deficient number, since it is larger than the sum of its proper divisors (12890608209).

21312333231 is a wasteful number, since it uses less digits than its factorization.

21312333231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27755.

The product of its digits is 1944, while the sum is 24.

Adding to 21312333231 its reverse (13233321312), we get a palindrome (34545654543).

The spelling of 21312333231 in words is "twenty-one billion, three hundred twelve million, three hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 2083 6249 14581 25643 39577 43743 76929 118731 179501 277039 487217 538503 831117 1461651 3410519 10231557 53414369 160243107 373900583 1014873011 1121701749 3044619033 7104111077 21312333231