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103242282 = 231121310939
BaseRepresentation
bin1100010011101…
…01101000101010
321012021020210020
412021311220222
5202412223112
614124501310
72362354623
oct611655052
9235236706
10103242282
1153306500
122a6aa836
131850a510
14d9d6a4a
1590e548c
hex6275a2a

103242282 has 48 divisors (see below), whose sum is σ = 244443360. Its totient is φ = 28876320.

The previous prime is 103242281. The next prime is 103242283. The reversal of 103242282 is 282242301.

It is an interprime number because it is at equal distance from previous prime (103242281) and next prime (103242283).

It is not an unprimeable number, because it can be changed into a prime (103242281) 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 23 ways as a sum of consecutive naturals, for example, 3969 + ... + 14907.

It is an arithmetic number, because the mean of its divisors is an integer number (5092570).

Almost surely, 2103242282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103242282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122221680).

103242282 is an abundant number, since it is smaller than the sum of its proper divisors (141201078).

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

103242282 is a wasteful number, since it uses less digits than its factorization.

103242282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10979 (or 10968 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 103242282 is about 10160.8209314012. The cubic root of 103242282 is about 469.1220701735.

Adding to 103242282 its reverse (282242301), we get a palindrome (385484583).

The spelling of 103242282 in words is "one hundred three million, two hundred forty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 9438 10939 21878 32817 65634 120329 142207 240658 284414 360987 426621 721974 853242 1323619 1564277 2647238 3128554 3970857 4692831 7941714 9385662 17207047 34414094 51621141 103242282