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20053344300 = 223521147129293
BaseRepresentation
bin10010101011010001…
…011100000000101100
31220202112220102212120
4102223101130000230
5312032124004200
613113512432540
71306640420433
oct225321340054
956675812776
1020053344300
118560654420
123a779a8750
131b77764302
14d8341011a
157c57a69a0
hex4ab45c02c

20053344300 has 144 divisors (see below), whose sum is σ = 64642862592. Its totient is φ = 4757945600.

The previous prime is 20053344293. The next prime is 20053344329. The reversal of 20053344300 is 344335002.

It is a super-2 number, since 2×200533443002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90454 + ... + 219746.

It is an arithmetic number, because the mean of its divisors is an integer number (448908768).

Almost surely, 220053344300 is an apocalyptic number.

20053344300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20053344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32321431296).

20053344300 is an abundant number, since it is smaller than the sum of its proper divisors (44589518292).

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

20053344300 is a wasteful number, since it uses less digits than its factorization.

20053344300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129368 (or 129361 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 20053344300 its reverse (344335002), we get a palindrome (20397679302).

The spelling of 20053344300 in words is "twenty billion, fifty-three million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 129293 155100 258586 387879 517172 646465 775758 1292930 1422223 1551516 1939395 2585860 2844446 3232325 3878790 4266669 5688892 6076771 6464650 7111115 7757580 8533338 9696975 12153542 12929300 14222230 17066676 18230313 19393950 21333345 24307084 28444460 30383855 35555575 36460626 38787900 42666690 60767710 66844481 71111150 72921252 85333380 91151565 106666725 121535420 133688962 142222300 151919275 182303130 200533443 213333450 267377924 303838550 334222405 364606260 401066886 426666900 455757825 607677100 668444810 802133772 911515650 1002667215 1336889620 1671112025 1823031300 2005334430 3342224050 4010668860 5013336075 6684448100 10026672150 20053344300