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331114201 = 113476779
BaseRepresentation
bin10011101111000…
…110011011011001
3212002001100021221
4103233012123121
51134231123301
652504532041
711130265345
oct2357063331
9762040257
10331114201
1115a9a6000
1292a81021
13537a2c82
1431d92625
151e107da1
hex13bc66d9

331114201 has 32 divisors (see below), whose sum is σ = 382279680. Its totient is φ = 286537680.

The previous prime is 331114169. The next prime is 331114211. The reversal of 331114201 is 102411133.

It is not a de Polignac number, because 331114201 - 25 = 331114169 is a prime.

It is a super-2 number, since 2×3311142012 = 219273228207736802, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331114211) 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, 4191280 + ... + 4191358.

It is an arithmetic number, because the mean of its divisors is an integer number (11946240).

Almost surely, 2331114201 is an apocalyptic number.

It is an amenable number.

331114201 is a deficient number, since it is larger than the sum of its proper divisors (51165479).

331114201 is an equidigital number, since it uses as much as digits as its factorization.

331114201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 331114201 is about 18196.5436553209. The cubic root of 331114201 is about 691.8191867519.

Adding to 331114201 its reverse (102411133), we get a palindrome (433525334).

The spelling of 331114201 in words is "three hundred thirty-one million, one hundred fourteen thousand, two hundred one".

Divisors: 1 11 47 67 79 121 517 737 869 1331 3149 3713 5293 5687 8107 9559 34639 40843 58223 62557 89177 105149 248771 381029 449273 640453 2736481 4191319 4942003 7044983 30101291 331114201