Search a number
-
+
103312104 = 23373971549
BaseRepresentation
bin1100010100001…
…10101011101000
321012101210120020
412022012223220
5202421441404
614130200440
72363065320
oct612065350
9235353506
10103312104
1153353a05
122a723120
131853322c
14da14280
15910aed9
hex6286ae8

103312104 has 64 divisors (see below), whose sum is σ = 296112000. Its totient is φ = 29424384.

The previous prime is 103312073. The next prime is 103312129. The reversal of 103312104 is 401213301.

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, 65922 + ... + 67470.

It is an arithmetic number, because the mean of its divisors is an integer number (4626750).

Almost surely, 2103312104 is an apocalyptic number.

103312104 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 103312104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148056000).

103312104 is an abundant number, since it is smaller than the sum of its proper divisors (192799896).

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

103312104 is a wasteful number, since it uses less digits than its factorization.

103312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103312104 is about 10164.2561951183. The cubic root of 103312104 is about 469.2278009501.

Adding to 103312104 its reverse (401213301), we get a palindrome (504525405).

The spelling of 103312104 in words is "one hundred three million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 1191 1549 1588 2382 2779 3098 3176 4647 4764 5558 6196 8337 9294 9528 10843 11116 12392 16674 18588 21686 22232 32529 33348 37176 43372 65058 66696 86744 130116 260232 614953 1229906 1844859 2459812 3689718 4304671 4919624 7379436 8609342 12914013 14758872 17218684 25828026 34437368 51656052 103312104