Search a number
-
+
21688143213 = 311331175211
BaseRepresentation
bin10100001100101101…
…101100110101101101
32001222111001211101110
4110030231230311231
5323404131040323
613544032102233
71365311114142
oct241455546555
961874054343
1021688143213
11921a434000
124253394979
132078362449
14109a5a23c9
1586e07b793
hex50cb6cd6d

21688143213 has 32 divisors (see below), whose sum is σ = 32833327104. Its totient is φ = 12720246000.

The previous prime is 21688143163. The next prime is 21688143241. The reversal of 21688143213 is 31234188612.

It is not a de Polignac number, because 21688143213 - 212 = 21688139117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21688143263) 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, 36178 + ... + 211388.

It is an arithmetic number, because the mean of its divisors is an integer number (1026041472).

Almost surely, 221688143213 is an apocalyptic number.

It is an amenable number.

21688143213 is a deficient number, since it is larger than the sum of its proper divisors (11145183891).

21688143213 is a wasteful number, since it uses less digits than its factorization.

21688143213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175278 (or 175256 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 21688143213 in words is "twenty-one billion, six hundred eighty-eight million, one hundred forty-three thousand, two hundred thirteen".

Divisors: 1 3 11 31 33 93 121 341 363 1023 1331 3751 3993 11253 41261 123783 175211 525633 1927321 5431541 5781963 16294623 21200531 59746951 63601593 179240853 233205841 657216461 699617523 1971649383 7229381071 21688143213