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314510121 = 343882841
BaseRepresentation
bin10010101111110…
…000101100101001
3210220210202210000
4102233300230221
51121003310441
651113013213
710536202062
oct2257605451
9726722700
10314510121
11151595122
12893b4209
135020b483
142daad569
151c9282b6
hex12bf0b29

314510121 has 10 divisors (see below), whose sum is σ = 469823882. Its totient is φ = 209673360.

The previous prime is 314510113. The next prime is 314510137. The reversal of 314510121 is 121015413.

314510121 is a `hidden beast` number, since 31 + 4 + 510 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 249482025 + 65028096 = 15795^2 + 8064^2 .

It is not a de Polignac number, because 314510121 - 23 = 314510113 is a prime.

It is a super-3 number, since 3×3145101213 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314510094 and 314510103.

It is not an unprimeable number, because it can be changed into a prime (314510111) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1941340 + ... + 1941501.

Almost surely, 2314510121 is an apocalyptic number.

It is an amenable number.

314510121 is a deficient number, since it is larger than the sum of its proper divisors (155313761).

314510121 is an equidigital number, since it uses as much as digits as its factorization.

314510121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882853 (or 3882844 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 314510121 is about 17734.4332021071. The cubic root of 314510121 is about 680.0563109365.

Adding to 314510121 its reverse (121015413), we get a palindrome (435525534).

The spelling of 314510121 in words is "three hundred fourteen million, five hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 3882841 11648523 34945569 104836707 314510121