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103132420 = 22515493329
BaseRepresentation
bin1100010010110…
…10110100000100
321012001200002021
412021122310010
5202400214140
614122252524
72361416416
oct611326404
9235050067
10103132420
1153240a06
122a657144
131849c501
14d9a89b6
1590c2b4a
hex625ad04

103132420 has 24 divisors (see below), whose sum is σ = 216783000. Its totient is φ = 41213952.

The previous prime is 103132417. The next prime is 103132427. The reversal of 103132420 is 24231301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3452164 + 99680256 = 1858^2 + 9984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103132394 and 103132403.

It is not an unprimeable number, because it can be changed into a prime (103132427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29316 + ... + 32644.

It is an arithmetic number, because the mean of its divisors is an integer number (9032625).

Almost surely, 2103132420 is an apocalyptic number.

103132420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132420 is an abundant number, since it is smaller than the sum of its proper divisors (113650580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103132420 is a wasteful number, since it uses less digits than its factorization.

103132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103132420 is about 10155.4133347688. The cubic root of 103132420 is about 468.9556106578.

Adding to 103132420 its reverse (24231301), we get a palindrome (127363721).

The spelling of 103132420 in words is "one hundred three million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1549 3098 3329 6196 6658 7745 13316 15490 16645 30980 33290 66580 5156621 10313242 20626484 25783105 51566210 103132420