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21124201320 = 23325371585901
BaseRepresentation
bin10011101011000110…
…011011101101101000
32000112011220121112200
4103223012123231220
5321230243420240
613412044540200
71345322514525
oct235306335550
960464817480
1021124201320
118a60074122
124116551660
131cb8580111
14104572414c
158397d2930
hex4eb19bb68

21124201320 has 96 divisors (see below), whose sum is σ = 70509202920. Its totient is φ = 5480870400.

The previous prime is 21124201313. The next prime is 21124201337. The reversal of 21124201320 is 2310242112.

It is a happy number.

21124201320 is a `hidden beast` number, since 2 + 112 + 420 + 132 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20799985284 + 324216036 = 144222^2 + 18006^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21124201293 and 21124201302.

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 23 ways as a sum of consecutive naturals, for example, 779631 + ... + 806270.

Almost surely, 221124201320 is an apocalyptic number.

21124201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21124201320 is an abundant number, since it is smaller than the sum of its proper divisors (49385001600).

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

21124201320 is a wasteful number, since it uses less digits than its factorization.

21124201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585955 (or 1585948 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21124201320 its reverse (2310242112), we get a palindrome (23434443432).

The spelling of 21124201320 in words is "twenty-one billion, one hundred twenty-four million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 1585901 3171802 4757703 6343604 7929505 9515406 12687208 14273109 15859010 19030812 23788515 28546218 31718020 38061624 47577030 57092436 58678337 63436040 71365545 95154060 114184872 117356674 142731090 176035011 190308120 234713348 285462180 293391685 352070022 469426696 528105033 570924360 586783370 704140044 880175055 1056210066 1173566740 1408280088 1760350110 2112420132 2347133480 2640525165 3520700220 4224840264 5281050330 7041400440 10562100660 21124201320