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103149 = 3273157
BaseRepresentation
bin11001001011101101
312020111100
4121023231
511300044
62113313
7606504
oct311355
9166440
10103149
1170552
124b839
1337c47
142983b
1520869
hex192ed

103149 has 12 divisors (see below), whose sum is σ = 151996. Its totient is φ = 67392.

The previous prime is 103141. The next prime is 103171. The reversal of 103149 is 941301.

It can be written as a sum of positive squares in 2 ways, for example, as 44100 + 59049 = 210^2 + 243^2 .

It is not a de Polignac number, because 103149 - 23 = 103141 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 735.

2103149 is an apocalyptic number.

It is an amenable number.

103149 is a deficient number, since it is larger than the sum of its proper divisors (48847).

103149 is a wasteful number, since it uses less digits than its factorization.

103149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103149 is about 321.1681802421. The cubic root of 103149 is about 46.8980739734.

Subtracting from 103149 its product of nonzero digits (108), we obtain a square (103041 = 3212).

It can be divided in two parts, 103 and 149, that added together give a palindrome (252).

The spelling of 103149 in words is "one hundred three thousand, one hundred forty-nine".

Divisors: 1 3 9 73 157 219 471 657 1413 11461 34383 103149