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20513134425200 = 24524331171101141
BaseRepresentation
bin1001010101000000101100…
…00101110011010001110000
32200122000222121102011001212
410222200112011303101300
510142041344403101300
6111343334233415252
74215011410460144
oct452402605632160
980560877364055
1020513134425200
11659963167459a
1223736bb26a528
13b5a4c360b231
1450cbab9dd224
152588d8b20935
hex12a816173470

20513134425200 has 120 divisors (see below), whose sum is σ = 49439294651376. Its totient is φ = 8179232256000.

The previous prime is 20513134425197. The next prime is 20513134425253. The reversal of 20513134425200 is 252443131502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202766630 + ... + 202867770.

Almost surely, 220513134425200 is an apocalyptic number.

20513134425200 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 20513134425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24719647325688).

20513134425200 is an abundant number, since it is smaller than the sum of its proper divisors (28926160226176).

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

20513134425200 is a wasteful number, since it uses less digits than its factorization.

20513134425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102763 (or 102752 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 20513134425200 its reverse (252443131502), we get a palindrome (20765577556702).

The spelling of 20513134425200 in words is "twenty trillion, five hundred thirteen billion, one hundred thirty-four million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 433 866 1171 1732 2165 2342 3464 4330 4684 5855 6928 8660 9368 10825 11710 17320 18736 21650 23420 29275 34640 43300 46840 58550 86600 93680 101141 117100 173200 202282 234200 404564 468400 505705 507043 809128 1011410 1014086 1618256 2022820 2028172 2528525 2535215 4045640 4056344 5057050 5070430 8091280 8112688 10114100 10140860 12676075 20228200 20281720 25352150 40456400 40563440 43794053 50704300 87588106 101408600 118436111 175176212 202817200 218970265 236872222 350352424 437940530 473744444 592180555 700704848 875881060 947488888 1094851325 1184361110 1751762120 1894977776 2189702650 2368722220 2960902775 3503524240 4379405300 4737444440 5921805550 8758810600 9474888880 11843611100 17517621200 23687222200 47374444400 51282836063 102565672126 205131344252 256414180315 410262688504 512828360630 820525377008 1025656721260 1282070901575 2051313442520 2564141803150 4102626885040 5128283606300 10256567212600 20513134425200