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20110311320 = 23511231134033
BaseRepresentation
bin10010101110101010…
…101111111110011000
31220220112002122221012
4102232222233332120
5312141214430240
613123305433052
71311231553151
oct225652577630
956815078835
1020110311320
11858a823600
123a92a9b788
131b864bb8c8
14d8abdc928
157ca7aab65
hex4aeaaff98

20110311320 has 96 divisors (see below), whose sum is σ = 51340383360. Its totient is φ = 7076889600.

The previous prime is 20110311311. The next prime is 20110311329. The reversal of 20110311320 is 2311301102.

It is an interprime number because it is at equal distance from previous prime (20110311311) and next prime (20110311329).

It is a junction number, because it is equal to n+sod(n) for n = 20110311295 and 20110311304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110311329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83024 + ... + 217056.

It is an arithmetic number, because the mean of its divisors is an integer number (534795660).

Almost surely, 220110311320 is an apocalyptic number.

20110311320 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 20110311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25670191680).

20110311320 is an abundant number, since it is smaller than the sum of its proper divisors (31230072040).

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

20110311320 is a wasteful number, since it uses less digits than its factorization.

20110311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134097 (or 134082 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 20110311320 its reverse (2311301102), we get a palindrome (22421612422).

The spelling of 20110311320 in words is "twenty billion, one hundred ten million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 15004 18755 30008 37510 75020 134033 150040 268066 536132 670165 1072264 1340330 1474363 2680660 2948726 4155023 5361320 5897452 7371815 8310046 11794904 14743630 16217993 16620092 20775115 29487260 32435986 33240184 41550230 45705253 58974520 64871972 81089965 83100460 91410506 129743944 162179930 166200920 182821012 228526265 324359860 365642024 457052530 502757783 648719720 914105060 1005515566 1828210120 2011031132 2513788915 4022062264 5027577830 10055155660 20110311320