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111011332329 = 334111530827
BaseRepresentation
bin110011101100011001…
…0101000000011101001
3101121112120101222112000
41213120302220003221
53304322400113304
6122555314041213
711006651520132
oct1473062500351
9347476358460
10111011332329
1143097004057
1219621579209
13a611ba41c1
145531640c89
152d4acb6939
hex19d8ca80e9

111011332329 has 8 divisors (see below), whose sum is σ = 164461233120. Its totient is φ = 74007554868.

The previous prime is 111011332303. The next prime is 111011332337. The reversal of 111011332329 is 923233110111.

111011332329 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 1 + 1 + 332 + 329 = 666.

It is not a de Polignac number, because 111011332329 - 28 = 111011332073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4111530827 = 111011332329 / (1 + 1 + 1 + 0 + 1 + 1 + 3 + 3 + 2 + 3 + 2 + 9).

It is not an unprimeable number, because it can be changed into a prime (111011332379) 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, 2055765387 + ... + 2055765440.

It is an arithmetic number, because the mean of its divisors is an integer number (20557654140).

Almost surely, 2111011332329 is an apocalyptic number.

It is an amenable number.

111011332329 is a deficient number, since it is larger than the sum of its proper divisors (53449900791).

111011332329 is an equidigital number, since it uses as much as digits as its factorization.

111011332329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111530836 (or 4111530830 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 111011332329 in words is "one hundred eleven billion, eleven million, three hundred thirty-two thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 4111530827 12334592481 37003777443 111011332329