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11121300311 = 1143111632017
BaseRepresentation
bin10100101101110000…
…11001001101010111
31001201001200120222112
422112320121031113
5140234023102221
65035320021235
7542411331032
oct122670311527
931631616875
1011121300311
114797758590
1221a460181b
1310830b8394
14777048019
1545155015b
hex296e19357

11121300311 has 16 divisors (see below), whose sum is σ = 12176967168. Its totient is φ = 10073145600.

The previous prime is 11121300299. The next prime is 11121300349. The reversal of 11121300311 is 11300312111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11121300311 - 218 = 11121038167 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121300361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5512775 + ... + 5514791.

It is an arithmetic number, because the mean of its divisors is an integer number (761060448).

Almost surely, 211121300311 is an apocalyptic number.

11121300311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11121300311 is a deficient number, since it is larger than the sum of its proper divisors (1055666857).

11121300311 is a wasteful number, since it uses less digits than its factorization.

11121300311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11121300311 its reverse (11300312111), we get a palindrome (22421612422).

The spelling of 11121300311 in words is "eleven billion, one hundred twenty-one million, three hundred thousand, three hundred eleven".

Divisors: 1 11 431 1163 2017 4741 12793 22187 501253 869327 2345771 5513783 9562597 25803481 1011027301 11121300311