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21230431144 = 23135933710267
BaseRepresentation
bin10011110001011011…
…101010101110101000
32000210120210122110121
4103301123222232220
5321434442244034
613430401453024
71351052454466
oct236133525650
960716718417
1021230431144
11900503016a
124146041174
1320045953c0
141055897836
15843cb81b4
hex4f16eaba8

21230431144 has 64 divisors (see below), whose sum is σ = 43729358400. Its totient is φ = 9603062784.

The previous prime is 21230431097. The next prime is 21230431153. The reversal of 21230431144 is 44113403212.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2062699 + ... + 2072965.

It is an arithmetic number, because the mean of its divisors is an integer number (683271225).

Almost surely, 221230431144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21230431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21864679200).

21230431144 is an abundant number, since it is smaller than the sum of its proper divisors (22498927256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21230431144 is a wasteful number, since it uses less digits than its factorization.

21230431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 21230431144 its reverse (44113403212), we get a palindrome (65343834356).

The spelling of 21230431144 in words is "twenty-one billion, two hundred thirty million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 337 472 674 767 1348 1534 2696 3068 4381 6136 8762 10267 17524 19883 20534 35048 39766 41068 79532 82136 133471 159064 258479 266942 516958 533884 605753 1033916 1067768 1211506 2067832 2423012 3459979 4846024 6919958 7874789 13839916 15749578 27679832 31499156 44979727 62998312 89959454 179918908 204138761 359837816 408277522 816555044 1633110088 2653803893 5307607786 10615215572 21230431144