Search a number
-
+
314102112 = 25316272011
BaseRepresentation
bin10010101110001…
…101000101100000
3210220001001002120
4102232031011200
51120402231422
651100144240
710532552412
oct2256150540
9726031076
10314102112
11151336625
1289238080
13500c784c
142da049b2
151c89745c
hex12b8d160

314102112 has 48 divisors (see below), whose sum is σ = 825435072. Its totient is φ = 104584320.

The previous prime is 314102101. The next prime is 314102171. The reversal of 314102112 is 211201413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 314102091 and 314102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155187 + ... + 157197.

It is an arithmetic number, because the mean of its divisors is an integer number (17196564).

Almost surely, 2314102112 is an apocalyptic number.

314102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314102112 is an abundant number, since it is smaller than the sum of its proper divisors (511332960).

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

314102112 is a wasteful number, since it uses less digits than its factorization.

314102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 314102112 is about 17722.9261692306. The cubic root of 314102112 is about 679.7621082503.

Adding to 314102112 its reverse (211201413), we get a palindrome (525303525).

The spelling of 314102112 in words is "three hundred fourteen million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1627 2011 3254 4022 4881 6033 6508 8044 9762 12066 13016 16088 19524 24132 26032 32176 39048 48264 52064 64352 78096 96528 156192 193056 3271897 6543794 9815691 13087588 19631382 26175176 39262764 52350352 78525528 104700704 157051056 314102112