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11131113301 = 711314663223
BaseRepresentation
bin10100101110111011…
…10100111101010101
31001201202011010212121
422113131310331111
5140244031111201
65040310215541
7542560621240
oct122735647525
931652133777
1011131113301
1147a22501a0
1221a79545b1
131085142a99
14778480257
1545233c9a1
hex297774f55

11131113301 has 16 divisors (see below), whose sum is σ = 14325424128. Its totient is φ = 8393799600.

The previous prime is 11131113269. The next prime is 11131113359. The reversal of 11131113301 is 10331113111.

It is a cyclic number.

It is not a de Polignac number, because 11131113301 - 25 = 11131113269 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 (11131113101) 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, 2329225 + ... + 2333998.

It is an arithmetic number, because the mean of its divisors is an integer number (895339008).

Almost surely, 211131113301 is an apocalyptic number.

11131113301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11131113301 is a deficient number, since it is larger than the sum of its proper divisors (3194310827).

11131113301 is a wasteful number, since it uses less digits than its factorization.

11131113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663272.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 11131113301 its reverse (10331113111), we get a palindrome (21462226412).

The spelling of 11131113301 in words is "eleven billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred one".

Divisors: 1 7 11 31 77 217 341 2387 4663223 32642561 51295453 144559913 359068171 1011919391 1590159043 11131113301