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21301331024 = 2417292779749
BaseRepresentation
bin10011110101101010…
…001000010001010000
32000222112012201211002
4103311222020101100
5322111120043044
613441413241132
71352603216621
oct236552102120
960875181732
1021301331024
119041056306
1241659331a8
13201618a6ac
141061071a48
1584a12074e
hex4f5a88450

21301331024 has 80 divisors (see below), whose sum is σ = 45373770000. Its totient is φ = 9642565632.

The previous prime is 21301331011. The next prime is 21301331027. The reversal of 21301331024 is 42013310312.

It can be written as a sum of positive squares in 8 ways, for example, as 985960000 + 20315371024 = 31400^2 + 142532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21301330987 and 21301331005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301331027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2180102 + ... + 2189850.

It is an arithmetic number, because the mean of its divisors is an integer number (567172125).

Almost surely, 221301331024 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 21301331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22686885000).

21301331024 is an abundant number, since it is smaller than the sum of its proper divisors (24072438976).

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

21301331024 is a wasteful number, since it uses less digits than its factorization.

21301331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21301331024 its reverse (42013310312), we get a palindrome (63314641336).

The spelling of 21301331024 in words is "twenty-one billion, three hundred one million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 277 464 493 554 986 1108 1972 2216 3944 4432 4709 7888 8033 9418 9749 16066 18836 19498 32132 37672 38996 64264 75344 77992 128528 136561 155984 165733 273122 282721 331466 546244 565442 662932 1092488 1130884 1325864 2184976 2261768 2651728 2700473 4523536 4806257 5400946 9612514 10801892 19225028 21603784 38450056 43207568 45908041 76900112 78313717 91816082 156627434 183632164 313254868 367264328 626509736 734528656 1253019472 1331333189 2662666378 5325332756 10650665512 21301331024