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314035101 = 32172052517
BaseRepresentation
bin10010101101111…
…100101110011101
3210212220122011200
4102231330232131
51120343110401
651054510113
710532153142
oct2255745635
9725818150
10314035101
111512a0246
1289205339
13500a31b3
142d9c83c9
151c882686
hex12b7cb9d

314035101 has 12 divisors (see below), whose sum is σ = 480289212. Its totient is φ = 197041536.

The previous prime is 314035087. The next prime is 314035103. The reversal of 314035101 is 101530413.

314035101 is a `hidden beast` number, since 314 + 0 + 351 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127712601 + 186322500 = 11301^2 + 13650^2 .

It is not a de Polignac number, because 314035101 - 214 = 314018717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314035103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026106 + ... + 1026411.

It is an arithmetic number, because the mean of its divisors is an integer number (40024101).

Almost surely, 2314035101 is an apocalyptic number.

It is an amenable number.

314035101 is a deficient number, since it is larger than the sum of its proper divisors (166254111).

314035101 is a wasteful number, since it uses less digits than its factorization.

314035101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052540 (or 2052537 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 314035101 is about 17721.0355510055. The cubic root of 314035101 is about 679.7137643343.

Adding to 314035101 its reverse (101530413), we get a palindrome (415565514).

The spelling of 314035101 in words is "three hundred fourteen million, thirty-five thousand, one hundred one".

Divisors: 1 3 9 17 51 153 2052517 6157551 18472653 34892789 104678367 314035101