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201221131111320 = 233573111132066989
BaseRepresentation
bin101101110000001001110010…
…000010101000101110011000
3222101110112220121020211211110
4231300021302002220232120
5202333301334031030240
61551543413403100320
760245514132435225
oct5560116202505630
9871415817224743
10201221131111320
115912a447763101
121a69a0058116a0
1388380c06a5c48
14379922475094c
15183e353e74c80
hexb702720a8b98

201221131111320 has 128 divisors (see below), whose sum is σ = 611988115550400. Its totient is φ = 52919125991424.

The previous prime is 201221131111303. The next prime is 201221131111331. The reversal of 201221131111320 is 23111131122102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96316386 + ... + 98383374.

Almost surely, 2201221131111320 is an apocalyptic number.

201221131111320 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 201221131111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305994057775200).

201221131111320 is an abundant number, since it is smaller than the sum of its proper divisors (410766984439080).

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

201221131111320 is a wasteful number, since it uses less digits than its factorization.

201221131111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078189 (or 2078185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 201221131111320 its reverse (23111131122102), we get a palindrome (224332262233422).

The spelling of 201221131111320 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 11113 22226 33339 44452 55565 66678 88904 111130 133356 166695 222260 266712 333390 444520 666780 811249 1333560 1622498 2066989 2433747 3244996 4056245 4133978 4867494 6200967 6489992 8112490 8267956 9734988 10334945 12168735 12401934 16224980 16535912 19469976 20669890 24337470 24803868 31004835 32449960 41339780 48674940 49607736 62009670 82679560 97349880 124019340 150890197 248038680 301780394 452670591 603560788 754450985 905341182 1207121576 1508901970 1810682364 2263352955 3017803940 3621364728 4526705910 6035607880 9053411820 18106823640 22970448757 45940897514 68911346271 91881795028 114852243785 137822692542 183763590056 229704487570 275645385084 344556731355 459408975140 551290770168 689113462710 918817950280 1378226925420 1676842759261 2756453850840 3353685518522 5030528277783 6707371037044 8384213796305 10061056555566 13414742074088 16768427592610 20122113111132 25152641388915 33536855185220 40244226222264 50305282777830 67073710370440 100610565555660 201221131111320