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314141331 = 3724162071
BaseRepresentation
bin10010101110010…
…110101010010011
3210220010000220010
4102232112222103
51120410010311
651101050003
710533104640
oct2256265223
9726100803
10314141331
11151363039
1289256903
135010c65a
142da14dc7
151c8a3da6
hex12b96a93

314141331 has 16 divisors (see below), whose sum is σ = 480685568. Its totient is φ = 178761600.

The previous prime is 314141327. The next prime is 314141339. The reversal of 314141331 is 133141413.

It is not a de Polignac number, because 314141331 - 22 = 314141327 is a prime.

It is a super-2 number, since 2×3141413312 = 197369551684903122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314141298 and 314141307.

It is not an unprimeable number, because it can be changed into a prime (314141339) 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, 25975 + ... + 36096.

It is an arithmetic number, because the mean of its divisors is an integer number (30042848).

Almost surely, 2314141331 is an apocalyptic number.

314141331 is a deficient number, since it is larger than the sum of its proper divisors (166544237).

314141331 is a wasteful number, since it uses less digits than its factorization.

314141331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62322.

The product of its digits is 432, while the sum is 21.

The square root of 314141331 is about 17724.0325829084. The cubic root of 314141331 is about 679.7903989235.

Adding to 314141331 its reverse (133141413), we get a palindrome (447282744).

The spelling of 314141331 in words is "three hundred fourteen million, one hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 21 241 723 1687 5061 62071 186213 434497 1303491 14959111 44877333 104713777 314141331