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331114431 = 32959251257
BaseRepresentation
bin10011101111000…
…110011110111111
3212002001100121110
4103233012132333
51134231130211
652504533103
711130266124
oct2357063677
9762040543
10331114431
1115a9a619a
1292a81193
13537a30cb
1431d9274b
151e107ea6
hex13bc67bf

331114431 has 32 divisors (see below), whose sum is σ = 468115200. Its totient is φ = 207872000.

The previous prime is 331114429. The next prime is 331114471. The reversal of 331114431 is 134411133.

It is not a de Polignac number, because 331114431 - 21 = 331114429 is a prime.

It is a super-3 number, since 3×3311144313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 331114398 and 331114407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331114471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1288255 + ... + 1288511.

It is an arithmetic number, because the mean of its divisors is an integer number (14628600).

Almost surely, 2331114431 is an apocalyptic number.

331114431 is a deficient number, since it is larger than the sum of its proper divisors (137000769).

331114431 is a wasteful number, since it uses less digits than its factorization.

331114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599.

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

The square root of 331114431 is about 18196.5499752013. The cubic root of 331114431 is about 691.8193469367.

Adding to 331114431 its reverse (134411133), we get a palindrome (465525564).

The spelling of 331114431 in words is "three hundred thirty-one million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 29 59 87 177 251 257 753 771 1711 5133 7279 7453 14809 15163 21837 22359 44427 45489 64507 193521 429461 439727 1288383 1319181 1870703 3805913 5612109 11417739 110371477 331114431