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11111320320 = 283523912107
BaseRepresentation
bin10100101100100100…
…10100101100000000
31001200100220120000020
422112102110230000
5140223444222240
65034322053440
7542230443612
oct122622245400
931610816006
1011111320320
114792061461
1221a11aa280
131081002969
147759aadb2
1545072d0d0
hex296494b00

11111320320 has 144 divisors (see below), whose sum is σ = 35638202880. Its totient is φ = 2950377472.

The previous prime is 11111320313. The next prime is 11111320351. The reversal of 11111320320 is 2302311111.

It is a happy number.

It is a super-2 number, since 2×111113203202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11111320320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911707 + ... + 923813.

It is an arithmetic number, because the mean of its divisors is an integer number (247487520).

Almost surely, 211111320320 is an apocalyptic number.

11111320320 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 11111320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819101440).

11111320320 is an abundant number, since it is smaller than the sum of its proper divisors (24526882560).

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

11111320320 is a wasteful number, since it uses less digits than its factorization.

11111320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12370 (or 12356 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11111320320 its reverse (2302311111), we get a palindrome (13413631431).

The spelling of 11111320320 in words is "eleven billion, one hundred eleven million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 239 240 256 320 384 478 480 640 717 768 956 960 1195 1280 1434 1912 1920 2390 2868 3585 3824 3840 4780 5736 7170 7648 9560 11472 12107 14340 15296 19120 22944 24214 28680 30592 36321 38240 45888 48428 57360 60535 61184 72642 76480 91776 96856 114720 121070 145284 152960 181605 183552 193712 229440 242140 290568 305920 363210 387424 458880 484280 581136 726420 774848 917760 968560 1162272 1452840 1549696 1937120 2324544 2893573 2905680 3099392 3874240 4649088 5787146 5811360 7748480 8680719 9298176 11574292 11622720 14467865 15496960 17361438 23148584 23245440 28935730 34722876 43403595 46297168 46490880 57871460 69445752 86807190 92594336 115742920 138891504 173614380 185188672 231485840 277783008 347228760 370377344 462971680 555566016 694457520 740754688 925943360 1111132032 1388915040 1851886720 2222264064 2777830080 3703773440 5555660160 11111320320