Search a number
-
+
103132125 = 325391673
BaseRepresentation
bin1100010010110…
…10101111011101
321012001122200100
412021122233131
5202400212000
614122251313
72361415515
oct611325735
9235048610
10103132125
1153240768
122a656b39
131849c335
14d9a8845
1590c2a00
hex625abdd

103132125 has 24 divisors (see below), whose sum is σ = 185914872. Its totient is φ = 55003200.

The previous prime is 103132123. The next prime is 103132163. The reversal of 103132125 is 521231301.

It can be written as a sum of positive squares in 4 ways, for example, as 7601049 + 95531076 = 2757^2 + 9774^2 .

It is not a de Polignac number, because 103132125 - 21 = 103132123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103132098 and 103132107.

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 23 ways as a sum of consecutive naturals, for example, 44712 + ... + 46961.

It is an arithmetic number, because the mean of its divisors is an integer number (7746453).

Almost surely, 2103132125 is an apocalyptic number.

103132125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103132125 is a deficient number, since it is larger than the sum of its proper divisors (82782747).

103132125 is an equidigital number, since it uses as much as digits as its factorization.

103132125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91694 (or 91681 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103132125 is about 10155.3988104850. The cubic root of 103132125 is about 468.9551635238.

Adding to 103132125 its reverse (521231301), we get a palindrome (624363426).

The spelling of 103132125 in words is "one hundred three million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 91673 275019 458365 825057 1375095 2291825 4125285 6875475 11459125 20626425 34377375 103132125