Search a number
-
+
20331311312 = 24133110131219
BaseRepresentation
bin10010111011110101…
…110011000011010000
31221110220221121221002
4102323311303003100
5313114303430222
613201242321132
71316554203044
oct227365630320
957426847832
1020331311312
11869354a124
123b34ab91a8
131bc0219530
14dac2ca024
157dedb2392
hex4bbd730d0

20331311312 has 80 divisors (see below), whose sum is σ = 44225502720. Its totient is φ = 8990784000.

The previous prime is 20331311267. The next prime is 20331311339. The reversal of 20331311312 is 21311313302.

It is a super-3 number, since 3×203313113123 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635639 + ... + 666857.

It is an arithmetic number, because the mean of its divisors is an integer number (552818784).

Almost surely, 220331311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20331311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22112751360).

20331311312 is an abundant number, since it is smaller than the sum of its proper divisors (23894191408).

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

20331311312 is a wasteful number, since it uses less digits than its factorization.

20331311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31372 (or 31366 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20331311312 its reverse (21311313302), we get a palindrome (41642624614).

The spelling of 20331311312 in words is "twenty billion, three hundred thirty-one million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 52 62 101 104 124 202 208 248 403 404 496 806 808 1313 1612 1616 2626 3131 3224 5252 6262 6448 10504 12524 21008 25048 31219 40703 50096 62438 81406 124876 162812 249752 325624 405847 499504 651248 811694 967789 1623388 1935578 3153119 3246776 3871156 6306238 6493552 7742312 12581257 12612476 15484624 25162514 25224952 40990547 50325028 50449904 81981094 97746689 100650056 163962188 195493378 201300112 327924376 390986756 655848752 781973512 1270706957 1563947024 2541413914 5082827828 10165655656 20331311312