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11020111320 = 2335795572087
BaseRepresentation
bin10100100001101100…
…11000110111011000
31001110000021122210010
422100312120313120
5140032122030240
65021303121520
7540042254301
oct122066306730
931400248703
1011020111320
114745624819
1221767432a0
13106814963a
147678277a8
15447713280
hex290d98dd8

11020111320 has 128 divisors (see below), whose sum is σ = 33554995200. Its totient is φ = 2894900736.

The previous prime is 11020111303. The next prime is 11020111363. The reversal of 11020111320 is 2311102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11020111296 and 11020111305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5279317 + ... + 5281403.

It is an arithmetic number, because the mean of its divisors is an integer number (262148400).

Almost surely, 211020111320 is an apocalyptic number.

11020111320 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 11020111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777497600).

11020111320 is an abundant number, since it is smaller than the sum of its proper divisors (22534883880).

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

11020111320 is a wasteful number, since it uses less digits than its factorization.

11020111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11020111320 its reverse (2311102011), we get a palindrome (13331213331).

The spelling of 11020111320 in words is "eleven billion, twenty million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 557 632 790 948 1114 1185 1580 1671 1896 2087 2228 2370 2785 3160 3342 4174 4456 4740 5570 6261 6684 8348 8355 9480 10435 11140 12522 13368 16696 16710 20870 22280 25044 31305 33420 41740 44003 50088 62610 66840 83480 88006 125220 132009 164873 176012 220015 250440 264018 329746 352024 440030 494619 528036 659492 660045 824365 880060 989238 1056072 1162459 1318984 1320090 1648730 1760120 1978476 2324918 2473095 2640180 3297460 3487377 3956952 4649836 4946190 5280360 5812295 6594920 6974754 9299672 9892380 11624590 13949508 17436885 19784760 23249180 27899016 34873770 46498360 69747540 91834261 139495080 183668522 275502783 367337044 459171305 551005566 734674088 918342610 1102011132 1377513915 1836685220 2204022264 2755027830 3673370440 5510055660 11020111320