Search a number
-
+
103112324 = 22731211563
BaseRepresentation
bin1100010010101…
…01111010000100
321012000122111222
412021111322010
5202344043244
614122015512
72361304010
oct611257204
9235018458
10103112324
11532278a7
122a647598
1318493313
14d9a1540
1590bbbee
hex6255e84

103112324 has 48 divisors (see below), whose sum is σ = 214265856. Its totient is φ = 42487200.

The previous prime is 103112309. The next prime is 103112329. The reversal of 103112324 is 423211301.

It is not an unprimeable number, because it can be changed into a prime (103112329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182867 + ... + 183429.

It is an arithmetic number, because the mean of its divisors is an integer number (4463872).

Almost surely, 2103112324 is an apocalyptic number.

103112324 is a gapful number since it is divisible by the number (14) 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 103112324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107132928).

103112324 is an abundant number, since it is smaller than the sum of its proper divisors (111153532).

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

103112324 is a wasteful number, since it uses less digits than its factorization.

103112324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 103112324 is about 10154.4238635188. The cubic root of 103112324 is about 468.9251490302.

Adding to 103112324 its reverse (423211301), we get a palindrome (526323625).

The spelling of 103112324 in words is "one hundred three million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 62 124 211 217 422 434 563 844 868 1126 1477 2252 2954 3941 5908 6541 7882 13082 15764 17453 26164 34906 45787 69812 91574 118793 122171 183148 237586 244342 475172 488684 831551 1663102 3326204 3682583 7365166 14730332 25778081 51556162 103112324