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1106146223 = 71376115973
BaseRepresentation
bin100000111101110…
…0111001110101111
32212002102001100122
41001323213032233
54231133134343
6301432315155
736261042050
oct10173471657
92762361318
101106146223
11518433036
1226a542abb
131482233c0
14a6c9c727
156719c068
hex41ee73af

1106146223 has 16 divisors (see below), whose sum is σ = 1363285056. Its totient is φ = 873987840.

The previous prime is 1106146187. The next prime is 1106146267. The reversal of 1106146223 is 3226416011.

It is a cyclic number.

It is not a de Polignac number, because 1106146223 - 228 = 837710767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1106146192 and 1106146201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106146273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61265 + ... + 77237.

It is an arithmetic number, because the mean of its divisors is an integer number (85205316).

Almost surely, 21106146223 is an apocalyptic number.

1106146223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1106146223 is a deficient number, since it is larger than the sum of its proper divisors (257138833).

1106146223 is a wasteful number, since it uses less digits than its factorization.

1106146223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16754.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1106146223 is about 33258.7766311390. The cubic root of 1106146223 is about 1034.1991589483.

The spelling of 1106146223 in words is "one billion, one hundred six million, one hundred forty-six thousand, two hundred twenty-three".

Divisors: 1 7 13 91 761 5327 9893 15973 69251 111811 207649 1453543 12155453 85088171 158020889 1106146223