Search a number
-
+
2311303111020 = 22325431423209851
BaseRepresentation
bin100001101000100100011…
…001101010000101101100
322011221212200120102002200
4201220210121222011230
5300332022044023040
64525444211021500
7325662150201021
oct41504431520554
98157780512080
102311303111020
11811244394752
12313b4289a890
13139c55037447
147dc20c45548
15401c7b51630
hex21a2466a16c

2311303111020 has 144 divisors (see below), whose sum is σ = 7179073853952. Its totient is φ = 601587907200.

The previous prime is 2311303110997. The next prime is 2311303111043. The reversal of 2311303111020 is 201113031132.

2311303111020 is a `hidden beast` number, since 2 + 311 + 30 + 311 + 10 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2311303110997) and next prime (2311303111043).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2311303110984 and 2311303111002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10909095 + ... + 11118945.

Almost surely, 22311303111020 is an apocalyptic number.

2311303111020 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 2311303111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589536926976).

2311303111020 is an abundant number, since it is smaller than the sum of its proper divisors (4867770742932).

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

2311303111020 is a wasteful number, since it uses less digits than its factorization.

2311303111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211332 (or 211327 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2311303111020 its reverse (201113031132), we get a palindrome (2512416142152).

The spelling of 2311303111020 in words is "two trillion, three hundred eleven billion, three hundred three million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1423 1548 1935 2580 2846 3870 4269 5692 7115 7740 8538 12807 14230 17076 21345 25614 28460 42690 51228 61189 64035 85380 122378 128070 183567 209851 244756 256140 305945 367134 419702 550701 611890 629553 734268 839404 917835 1049255 1101402 1223780 1259106 1835670 1888659 2098510 2202804 2518212 2753505 3147765 3671340 3777318 4197020 5507010 6295530 7554636 9023593 9443295 11014020 12591060 18047186 18886590 27070779 36094372 37773180 45117965 54141558 81212337 90235930 108283116 135353895 162424674 180471860 270707790 298617973 324849348 406061685 541415580 597235946 812123370 895853919 1194471892 1493089865 1624246740 1791707838 2687561757 2986179730 3583415676 4479269595 5375123514 5972359460 8958539190 10750247028 12840572839 13437808785 17917078380 25681145678 26875617570 38521718517 51362291356 53751235140 64202864195 77043437034 115565155551 128405728390 154086874068 192608592585 231130311102 256811456780 385217185170 462260622204 577825777755 770434370340 1155651555510 2311303111020