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103132323 = 32719292971
BaseRepresentation
bin1100010010110…
…10110010100011
321012001122221200
412021122302203
5202400213243
614122252243
72361416220
oct611326243
9235048850
10103132323
1153240928
122a657083
131849c458
14d9a8947
1590c2ad3
hex625aca3

103132323 has 48 divisors (see below), whose sum is σ = 185452800. Its totient is φ = 53887680.

The previous prime is 103132313. The next prime is 103132327. The reversal of 103132323 is 323231301.

It is not a de Polignac number, because 103132323 - 25 = 103132291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103132296 and 103132305.

It is not an unprimeable number, because it can be changed into a prime (103132327) 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 47 ways as a sum of consecutive naturals, for example, 33228 + ... + 36198.

It is an arithmetic number, because the mean of its divisors is an integer number (3863600).

Almost surely, 2103132323 is an apocalyptic number.

103132323 is a deficient number, since it is larger than the sum of its proper divisors (82320477).

103132323 is a wasteful number, since it uses less digits than its factorization.

103132323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 103132323 is about 10155.4085589896. The cubic root of 103132323 is about 468.9554636342.

Adding to 103132323 its reverse (323231301), we get a palindrome (426363624).

The spelling of 103132323 in words is "one hundred three million, one hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 7 9 19 21 29 57 63 87 133 171 203 261 399 551 609 1197 1653 1827 2971 3857 4959 8913 11571 20797 26739 34713 56449 62391 86159 169347 187173 258477 395143 508041 603113 775431 1185429 1637021 1809339 3556287 4911063 5428017 11459147 14733189 34377441 103132323