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2102001300 = 2233527111217
BaseRepresentation
bin111110101001001…
…1111111010010100
312102111021201201000
41331102133322110
513301103020200
6544325103300
7103042500450
oct17522377224
95374251630
102102001300
11989585763
124a7b57b30
1327663ba69
1415d24b660
15c4810300
hex7d49fe94

2102001300 has 144 divisors (see below), whose sum is σ = 7722977920. Its totient is φ = 480453120.

The previous prime is 2102001299. The next prime is 2102001313. The reversal of 2102001300 is 31002012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 36709 + ... + 74508.

Almost surely, 22102001300 is an apocalyptic number.

2102001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102001300 is an abundant number, since it is smaller than the sum of its proper divisors (5620976620).

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

2102001300 is a wasteful number, since it uses less digits than its factorization.

2102001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111247 (or 111234 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2102001300 is about 45847.5877228017. The cubic root of 2102001300 is about 1280.9858331447.

Adding to 2102001300 its reverse (31002012), we get a palindrome (2133003312).

The spelling of 2102001300 in words is "two billion, one hundred two million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 111217 222434 333651 444868 556085 667302 778519 1000953 1112170 1334604 1557038 1668255 2001906 2224340 2335557 2780425 3002859 3114076 3336510 3892595 4003812 4671114 5004765 5560850 6005718 6673020 7006671 7785190 8341275 9342228 10009530 11121700 11677785 12011436 14013342 15014295 15570380 16682550 19462975 20019060 21020013 23355570 25023825 28026684 30028590 33365100 35033355 38925950 42040026 46711140 50047650 58388925 60057180 70066710 75071475 77851900 84080052 100095300 105100065 116777850 140133420 150142950 175166775 210200130 233555700 300285900 350333550 420400260 525500325 700667100 1051000650 2102001300