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11411100320 = 255415929483
BaseRepresentation
bin10101010000010011…
…11001001010100000
31002110020222221212012
422220021321022200
5141332220202240
65124151252052
7552530516024
oct125011711240
932406887765
1011411100320
1149262a5624
12226567a028
1310cb154589
147a3724384
1546bbe6b65
hex2a82792a0

11411100320 has 96 divisors (see below), whose sum is σ = 28085279040. Its totient is φ = 4377487360.

The previous prime is 11411100319. The next prime is 11411100347. The reversal of 11411100320 is 2300111411.

It is a junction number, because it is equal to n+sod(n) for n = 11411100295 and 11411100304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372299 + ... + 401781.

It is an arithmetic number, because the mean of its divisors is an integer number (292554990).

Almost surely, 211411100320 is an apocalyptic number.

11411100320 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 11411100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14042639520).

11411100320 is an abundant number, since it is smaller than the sum of its proper divisors (16674178720).

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

11411100320 is a wasteful number, since it uses less digits than its factorization.

11411100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29598 (or 29590 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11411100320 its reverse (2300111411), we get a palindrome (13711211731).

The spelling of 11411100320 in words is "eleven billion, four hundred eleven million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 59 80 82 118 160 164 205 236 295 328 410 472 590 656 820 944 1180 1312 1640 1888 2360 2419 3280 4720 4838 6560 9440 9676 12095 19352 24190 29483 38704 48380 58966 77408 96760 117932 147415 193520 235864 294830 387040 471728 589660 943456 1179320 1208803 1739497 2358640 2417606 3478994 4717280 4835212 6044015 6957988 8697485 9670424 12088030 13915976 17394970 19340848 24176060 27831952 34789940 38681696 48352120 55663904 69579880 71319377 96704240 139159760 142638754 193408480 278319520 285277508 356596885 570555016 713193770 1141110032 1426387540 2282220064 2852775080 5705550160 11411100320