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301113141 = 3737616353
BaseRepresentation
bin10001111100101…
…001111100110101
3202222121010120120
4101330221330311
51104041110031
645513522153
710314263610
oct2174517465
9688533516
10301113141
11144a7483a
1284a13359
134a4ca674
142bdc3177
151b67da96
hex11f29f35

301113141 has 32 divisors (see below), whose sum is σ = 479040768. Its totient is φ = 164643840.

The previous prime is 301113139. The next prime is 301113149. The reversal of 301113141 is 141311103.

It is not a de Polignac number, because 301113141 - 21 = 301113139 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 301113141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301113149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44221 + ... + 50573.

It is an arithmetic number, because the mean of its divisors is an integer number (14970024).

Almost surely, 2301113141 is an apocalyptic number.

It is an amenable number.

301113141 is a deficient number, since it is larger than the sum of its proper divisors (177927627).

301113141 is a wasteful number, since it uses less digits than its factorization.

301113141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 301113141 is about 17352.6119359594. The cubic root of 301113141 is about 670.2598984277.

Adding to 301113141 its reverse (141311103), we get a palindrome (442424244).

The spelling of 301113141 in words is "three hundred one million, one hundred thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 37 61 111 183 259 427 777 1281 2257 6353 6771 15799 19059 44471 47397 133413 235061 387533 705183 1162599 1645427 2712731 4936281 8138193 14338721 43016163 100371047 301113141