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103132133 = 13193113469
BaseRepresentation
bin1100010010110…
…10101111100101
321012001122200122
412021122233211
5202400212013
614122251325
72361415526
oct611325745
9235048618
10103132133
1153240775
122a656b45
131849c340
14d9a884d
1590c2a08
hex625abe5

103132133 has 16 divisors (see below), whose sum is σ = 120691200. Its totient is φ = 87272640.

The previous prime is 103132123. The next prime is 103132163. The reversal of 103132133 is 331231301.

It is a de Polignac number, because none of the positive numbers 2k-103132133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103132123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923 + ... + 14391.

It is an arithmetic number, because the mean of its divisors is an integer number (7543200).

Almost surely, 2103132133 is an apocalyptic number.

103132133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103132133 is a deficient number, since it is larger than the sum of its proper divisors (17559067).

103132133 is a wasteful number, since it uses less digits than its factorization.

103132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13532.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 103132133 is about 10155.3992043641. The cubic root of 103132133 is about 468.9551756495.

Adding to 103132133 its reverse (331231301), we get a palindrome (434363434).

The spelling of 103132133 in words is "one hundred three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 19 31 247 403 589 7657 13469 175097 255911 417539 3326843 5428007 7933241 103132133