Search a number
-
+
314030013 = 31161732137
BaseRepresentation
bin10010101101111…
…011011110111101
3210212220101012020
4102231323132331
51120342430023
651054430353
710532132253
oct2255733675
9725811166
10314030013
11151297440
12892023b9
13500a0a9b
142d9c65d3
151c880de3
hex12b7b7bd

314030013 has 32 divisors (see below), whose sum is σ = 470838912. Its totient is φ = 184550400.

The previous prime is 314029999. The next prime is 314030023. The reversal of 314030013 is 310030413.

It is not a de Polignac number, because 314030013 - 26 = 314029949 is a prime.

It is a super-2 number, since 2×3140300132 = 197229698129560338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314029974 and 314030001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314030023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145881 + ... + 148017.

It is an arithmetic number, because the mean of its divisors is an integer number (14713716).

Almost surely, 2314030013 is an apocalyptic number.

314030013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314030013 is a deficient number, since it is larger than the sum of its proper divisors (156808899).

314030013 is a wasteful number, since it uses less digits than its factorization.

314030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 314030013 is about 17720.8919922221. The cubic root of 314030013 is about 679.7100934046.

Adding to 314030013 its reverse (310030413), we get a palindrome (624060426).

It can be divided in two parts, 3140 and 30013, that added together give a triangular number (33153 = T257).

The spelling of 314030013 in words is "three hundred fourteen million, thirty thousand, thirteen".

Divisors: 1 3 11 33 61 73 183 219 671 803 2013 2137 2409 4453 6411 13359 23507 48983 70521 130357 146949 156001 391071 468003 1433927 1716011 4301781 5148033 9516061 28548183 104676671 314030013