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165103361 = 23371311481
BaseRepresentation
bin10011101011101…
…00011100000001
3102111200010020022
421311310130001
5314231301421
624214423225
74043232623
oct1165643401
9374603208
10165103361
1185218665
1247361b15
13282895c7
1417cdac13
15e7647ab
hex9d74701

165103361 has 16 divisors (see below), whose sum is σ = 178409088. Its totient is φ = 152380800.

The previous prime is 165103349. The next prime is 165103363. The reversal of 165103361 is 163301561.

It is a de Polignac number, because none of the positive numbers 2k-165103361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165103361.

It is not an unprimeable number, because it can be changed into a prime (165103363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110741 + ... + 112221.

It is an arithmetic number, because the mean of its divisors is an integer number (11150568).

Almost surely, 2165103361 is an apocalyptic number.

It is an amenable number.

165103361 is a deficient number, since it is larger than the sum of its proper divisors (13305727).

165103361 is a wasteful number, since it uses less digits than its factorization.

165103361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 165103361 is about 12849.2552702482. The cubic root of 165103361 is about 548.5951596379.

The spelling of 165103361 in words is "one hundred sixty-five million, one hundred three thousand, three hundred sixty-one".

Divisors: 1 23 37 131 851 1481 3013 4847 34063 54797 111481 194011 1260331 4462253 7178407 165103361