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11233130211303 = 371113371011000973
BaseRepresentation
bin1010001101110110101010…
…1111000110011111100111
31110202212200011021110211220
42203131222233012133213
52433020422313230203
635520232341031423
72236365303242550
oct243355257063747
943685604243756
1011233130211303
113640a42180230
1213150806b5573
13636383480550
142ab9876c1327
151472ed46c653
hexa376abc67e7

11233130211303 has 128 divisors (see below), whose sum is σ = 20857671604224. Its totient is φ = 5189038848000.

The previous prime is 11233130211293. The next prime is 11233130211319. The reversal of 11233130211303 is 30311203133211.

It is not a de Polignac number, because 11233130211303 - 236 = 11164410734567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233130211383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10721725 + ... + 11722697.

It is an arithmetic number, because the mean of its divisors is an integer number (162950559408).

Almost surely, 211233130211303 is an apocalyptic number.

11233130211303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11233130211303 is a deficient number, since it is larger than the sum of its proper divisors (9624541392921).

11233130211303 is a wasteful number, since it uses less digits than its factorization.

11233130211303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001145.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11233130211303 its reverse (30311203133211), we get a palindrome (41544333344514).

The spelling of 11233130211303 in words is "eleven trillion, two hundred thirty-three billion, one hundred thirty million, two hundred eleven thousand, three hundred three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 101 111 143 231 259 273 303 407 429 481 707 777 1001 1111 1221 1313 1443 2121 2849 3003 3333 3367 3737 3939 5291 7777 8547 9191 10101 11211 14443 15873 23331 26159 27573 37037 41107 43329 48581 78477 101101 111111 123321 145743 287749 303303 340067 534391 863247 1000973 1020201 1603173 3002919 3740737 7006811 11010703 11222211 13012649 21020433 33032109 37036001 39037947 77074921 91088543 101098273 111108003 143139139 231224763 259252007 273265629 303294819 407396011 429417417 481468013 707687911 777756021 1001973973 1112081003 1222188033 1314277549 1444404039 2123063733 2851772077 3005921919 3336243009 3370276091 3740636101 3942832647 5296148143 7784567021 8555316231 9199942843 10110828273 11221908303 14457053039 15888444429 23353701063 26184452707 27599828529 37073037001 41146997111 43371159117 48628269313 78553358121 101199371273 111219111003 123440991333 145884807939 288028979777 303598113819 340397885191 534910962443 864086939331 1021193655573 1604732887329 3744376737101 11233130211303