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20113011311300 = 22521943810130389
BaseRepresentation
bin1001001001010111011001…
…11001010000001011000100
32122012210012100011221112222
410210223230321100023010
510114012421343430200
6110435442334431512
74144055112225365
oct444535471201304
978183170157488
1020113011311300
1164549755a3976
12230a052962598
13b2b85862583b
144d769134db6c
1524d2bb508d85
hex124aece502c4

20113011311300 has 144 divisors (see below), whose sum is σ = 47018129188800. Its totient is φ = 7443358272000.

The previous prime is 20113011311287. The next prime is 20113011311311. The reversal of 20113011311300 is 311311031102.

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, 661836506 + ... + 661866894.

Almost surely, 220113011311300 is an apocalyptic number.

20113011311300 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 20113011311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23509064594400).

20113011311300 is an abundant number, since it is smaller than the sum of its proper divisors (26905117877500).

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

20113011311300 is a wasteful number, since it uses less digits than its factorization.

20113011311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38566 (or 38559 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 20113011311300 its reverse (311311031102), we get a palindrome (20424322342402).

The spelling of 20113011311300 in words is "twenty trillion, one hundred thirteen billion, eleven million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 172 190 215 380 430 475 817 860 950 1075 1634 1900 2150 3268 4085 4300 8101 8170 16202 16340 20425 30389 32404 40505 40850 60778 81010 81700 121556 151945 153919 162020 202525 303890 307838 348343 405050 577391 607780 615676 696686 759725 769595 810100 1154782 1306727 1393372 1519450 1539190 1741715 2309564 2613454 2886955 3038900 3078380 3483430 3847975 5226908 5773910 6533635 6618517 6966860 7695950 8708575 11547820 13067270 13237034 14434775 15391900 17417150 24827813 26134540 26474068 28869550 32668175 33092585 34834300 49655626 57739100 65336350 66185170 99311252 124139065 130672700 132370340 165462925 246181289 248278130 330925850 492362578 496556260 620695325 661851700 984725156 1230906445 1241390650 2461812890 2482781300 4677444491 4923625780 6154532225 9354888982 10585795427 12309064450 18709777964 21171590854 23387222455 24618128900 42343181708 46774444910 52928977135 93548889820 105857954270 116936112275 201130113113 211715908540 233872224550 264644885675 402260226226 467744449100 529289771350 804520452452 1005650565565 1058579542700 2011301131130 4022602262260 5028252827825 10056505655650 20113011311300