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11320244040 = 2335735338177
BaseRepresentation
bin10101000101011110…
…10011011101001000
31002012221000222110210
422202233103131020
5141140440302130
65111144041120
7550345325640
oct124257233510
932187028423
1011320244040
114889a89996
12223b1631a0
1310b5392971
14795633520
15463c4b5b0
hex2a2bd3748

11320244040 has 128 divisors (see below), whose sum is σ = 38923234560. Its totient is φ = 2580086784.

The previous prime is 11320243999. The next prime is 11320244051. The reversal of 11320244040 is 4044202311.

11320244040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11320243998 and 11320244016.

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 31 ways as a sum of consecutive naturals, for example, 277432 + ... + 315608.

It is an arithmetic number, because the mean of its divisors is an integer number (304087770).

Almost surely, 211320244040 is an apocalyptic number.

11320244040 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 11320244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19461617280).

11320244040 is an abundant number, since it is smaller than the sum of its proper divisors (27602990520).

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

11320244040 is a wasteful number, since it uses less digits than its factorization.

11320244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38551 (or 38547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11320244040 its reverse (4044202311), we get a palindrome (15364446351).

The spelling of 11320244040 in words is "eleven billion, three hundred twenty million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 353 420 706 840 1059 1412 1765 2118 2471 2824 3530 4236 4942 5295 7060 7413 8472 9884 10590 12355 14120 14826 19768 21180 24710 29652 37065 38177 42360 49420 59304 74130 76354 98840 114531 148260 152708 190885 229062 267239 296520 305416 381770 458124 534478 572655 763540 801717 916248 1068956 1145310 1336195 1527080 1603434 2137912 2290620 2672390 3206868 4008585 4581240 5344780 6413736 8017170 10689560 13476481 16034340 26952962 32068680 40429443 53905924 67382405 80858886 94335367 107811848 134764810 161717772 188670734 202147215 269529620 283006101 323435544 377341468 404294430 471676835 539059240 566012202 754682936 808588860 943353670 1132024404 1415030505 1617177720 1886707340 2264048808 2830061010 3773414680 5660122020 11320244040