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112268148027 = 3737313461627
BaseRepresentation
bin110100010001110110…
…0111111110100111011
3101201210011022211112120
41220203230333310323
53314411121214102
6123324132012323
711053052340630
oct1504354776473
9351704284476
10112268148027
1143681496312
12199124610a3
13a78239c129
145610520187
152dc12c66bc
hex1a23b3fd3b

112268148027 has 32 divisors (see below), whose sum is σ = 176260649472. Its totient is φ = 62219798784.

The previous prime is 112268148011. The next prime is 112268148049. The reversal of 112268148027 is 720841862211.

It is not a de Polignac number, because 112268148027 - 24 = 112268148011 is a prime.

It is a super-2 number, since 2×1122681480272 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112268148027.

It is not an unprimeable number, because it can be changed into a prime (112268148007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12388 + ... + 474014.

It is an arithmetic number, because the mean of its divisors is an integer number (5508145296).

Almost surely, 2112268148027 is an apocalyptic number.

112268148027 is a deficient number, since it is larger than the sum of its proper divisors (63992501445).

112268148027 is a wasteful number, since it uses less digits than its factorization.

112268148027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461987.

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 112268148027 in words is "one hundred twelve billion, two hundred sixty-eight million, one hundred forty-eight thousand, twenty-seven".

Divisors: 1 3 7 21 37 111 259 313 777 939 2191 6573 11581 34743 81067 243201 461627 1384881 3231389 9694167 17080199 51240597 119561393 144489251 358684179 433467753 1011424757 3034274271 5346102287 16038306861 37422716009 112268148027