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11341343020 = 2257310715451
BaseRepresentation
bin10101000111111111…
…10010100100101100
31002021101201220211111
422203333302210230
5141211340434040
65113220201404
7551022553000
oct124377624454
932241656744
1011341343020
11489a98a967
122246239264
1310b986c377
14798366700
15465a17dea
hex2a3ff292c

11341343020 has 96 divisors (see below), whose sum is σ = 28036108800. Its totient is φ = 3851870400.

The previous prime is 11341343017. The next prime is 11341343089. The reversal of 11341343020 is 2034314311.

It is a super-2 number, since 2×113413430202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11341342982 and 11341343000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726295 + ... + 741745.

It is an arithmetic number, because the mean of its divisors is an integer number (292042800).

Almost surely, 211341343020 is an apocalyptic number.

11341343020 is a gapful number since it is divisible by the number (10) 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 11341343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018054400).

11341343020 is an abundant number, since it is smaller than the sum of its proper divisors (16694765780).

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

11341343020 is a wasteful number, since it uses less digits than its factorization.

11341343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15588 (or 15572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 11341343020 its reverse (2034314311), we get a palindrome (13375657331).

The spelling of 11341343020 in words is "eleven billion, three hundred forty-one million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 107 140 196 214 245 343 428 490 535 686 749 980 1070 1372 1498 1715 2140 2996 3430 3745 5243 6860 7490 10486 14980 15451 20972 26215 30902 36701 52430 61804 73402 77255 104860 108157 146804 154510 183505 216314 309020 367010 432628 540785 734020 757099 1081570 1514198 1653257 2163140 3028396 3306514 3785495 5299693 6613028 7570990 8266285 10599386 11572799 15141980 16532570 21198772 23145598 26498465 33065140 46291196 52996930 57863995 81009593 105993860 115727990 162019186 231455980 324038372 405047965 567067151 810095930 1134134302 1620191860 2268268604 2835335755 5670671510 11341343020