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111880088111 = 1123442213787
BaseRepresentation
bin110100000110010010…
…0101010101000101111
3101200210010010100102002
41220030210222220233
53313112300304421
6123221430322515
711040331025621
oct1501444525057
9350703110362
10111880088111
11434a2436140
12198244b943b
13a71cb7b48c
1455b4b86c11
152d9c1c0b0b
hex1a0c92aa2f

111880088111 has 8 divisors (see below), whose sum is σ = 127357570944. Its totient is φ = 97287032920.

The previous prime is 111880088107. The next prime is 111880088147.

It is a happy number.

111880088111 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 111880088111 - 22 = 111880088107 is a prime.

It is a super-3 number, since 3×1118800881113 (a number of 34 digits) contains 333 as substring.

111880088111 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111880288111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221106641 + ... + 221107146.

It is an arithmetic number, because the mean of its divisors is an integer number (15919696368).

Almost surely, 2111880088111 is an apocalyptic number.

111880088111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111880088111 is a deficient number, since it is larger than the sum of its proper divisors (15477482833).

111880088111 is a wasteful number, since it uses less digits than its factorization.

111880088111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442213821.

The product of its (nonzero) digits is 4096, while the sum is 38.

The spelling of 111880088111 in words is "one hundred eleven billion, eight hundred eighty million, eighty-eight thousand, one hundred eleven".

Divisors: 1 11 23 253 442213787 4864351657 10170917101 111880088111