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11101112319 = 3111719788079
BaseRepresentation
bin10100101011010110…
…11000011111111111
31001122122200221021010
422111223120133333
5140213341043234
65033315210303
7542044616643
oct122553303777
931578627233
1011101112319
114787319aa0
1221998a6993
13107bb6a51b
147744b0c23
1544e8b36e9
hex295ad87ff

11101112319 has 16 divisors (see below), whose sum is σ = 17096901120. Its totient is φ = 6332184960.

The previous prime is 11101112299. The next prime is 11101112327. The reversal of 11101112319 is 91321110111.

It is not a de Polignac number, because 11101112319 - 28 = 11101112063 is a prime.

It is a super-2 number, since 2×111011123192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101112295 and 11101112304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101112419) 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, 9893479 + ... + 9894600.

It is an arithmetic number, because the mean of its divisors is an integer number (1068556320).

Almost surely, 211101112319 is an apocalyptic number.

11101112319 is a deficient number, since it is larger than the sum of its proper divisors (5995788801).

11101112319 is a wasteful number, since it uses less digits than its factorization.

11101112319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19788110.

The product of its (nonzero) digits is 54, while the sum is 21.

The spelling of 11101112319 in words is "eleven billion, one hundred one million, one hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 11 17 33 51 187 561 19788079 59364237 217668869 336397343 653006607 1009192029 3700370773 11101112319