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20513301200 = 2452721046597
BaseRepresentation
bin10011000110101100…
…000010001011010000
31221221121101200010022
4103012230002023100
5314002401114300
613231303123012
71324224116600
oct230654021320
957847350108
1020513301200
118777250897
123b85a43468
131c1bb39062
14dc8540c00
15800d60285
hex4c6b022d0

20513301200 has 90 divisors (see below), whose sum is σ = 57329498646. Its totient is φ = 7033125120.

The previous prime is 20513301187. The next prime is 20513301223. The reversal of 20513301200 is 210331502.

It can be written as a sum of positive squares in 3 ways, for example, as 3002601616 + 17510699584 = 54796^2 + 132328^2 .

It is a super-2 number, since 2×205133012002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 503699 + ... + 542898.

Almost surely, 220513301200 is an apocalyptic number.

20513301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20513301200 is an abundant number, since it is smaller than the sum of its proper divisors (36816197446).

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

20513301200 is a wasteful number, since it uses less digits than its factorization.

20513301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046629 (or 1046611 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 20513301200 its reverse (210331502), we get a palindrome (20723632702).

The spelling of 20513301200 in words is "twenty billion, five hundred thirteen million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 1046597 2093194 4186388 5232985 7326179 8372776 10465970 14652358 16745552 20931940 26164925 29304716 36630895 41863880 51283253 52329850 58609432 73261790 83727760 102566506 104659700 117218864 146523580 183154475 205133012 209319400 256416265 293047160 366308950 410266024 418638800 512832530 586094320 732617900 820532048 1025665060 1282081325 1465235800 2051330120 2564162650 2930471600 4102660240 5128325300 10256650600 20513301200