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103281132 = 22323419127
BaseRepresentation
bin1100010011111…
…11000111101100
321012100020002010
412021333013230
5202414444012
614125401220
72362606113
oct611770754
9235306063
10103281132
1153332709
122a709210
13185220c6
14da06c7a
159101c3c
hex627f1ec

103281132 has 48 divisors (see below), whose sum is σ = 257628672. Its totient is φ = 32123520.

The previous prime is 103281121. The next prime is 103281161. The reversal of 103281132 is 231182301.

It is a junction number, because it is equal to n+sod(n) for n = 103281099 and 103281108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6753 + ... + 15879.

It is an arithmetic number, because the mean of its divisors is an integer number (5367264).

Almost surely, 2103281132 is an apocalyptic number.

103281132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103281132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128814336).

103281132 is an abundant number, since it is smaller than the sum of its proper divisors (154347540).

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

103281132 is a wasteful number, since it uses less digits than its factorization.

103281132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9198 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 103281132 is about 10162.7325065653. The cubic root of 103281132 is about 469.1809062320.

The spelling of 103281132 in words is "one hundred three million, two hundred eighty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3772 5658 9127 11316 18254 27381 36508 54762 109524 209921 374207 419842 629763 748414 839684 1122621 1259526 1496828 2245242 2519052 4490484 8606761 17213522 25820283 34427044 51640566 103281132