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311413431 = 3717838317
BaseRepresentation
bin10010100011111…
…100101010110111
3210200222102220210
4102203330222313
51114210212211
650522400503
710500653610
oct2243745267
9720872823
10311413431
1114a86a57a
1288360133
134c695b04
142d504c07
151c5159a6
hex128fcab7

311413431 has 16 divisors (see below), whose sum is σ = 474857984. Its totient is φ = 177829344.

The previous prime is 311413373. The next prime is 311413433. The reversal of 311413431 is 134314113.

It is not a de Polignac number, because 311413431 - 26 = 311413367 is a prime.

It is a super-2 number, since 2×3114134312 = 193956650014383522, 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 = 311413398 and 311413407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311413433) 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 15 ways as a sum of consecutive naturals, for example, 33285 + ... + 41601.

It is an arithmetic number, because the mean of its divisors is an integer number (29678624).

Almost surely, 2311413431 is an apocalyptic number.

311413431 is a deficient number, since it is larger than the sum of its proper divisors (163444553).

311413431 is a wasteful number, since it uses less digits than its factorization.

311413431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110.

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

The square root of 311413431 is about 17646.9099561368. The cubic root of 311413431 is about 677.8169836071.

Adding to 311413431 its reverse (134314113), we get a palindrome (445727544).

The spelling of 311413431 in words is "three hundred eleven million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 7 21 1783 5349 8317 12481 24951 37443 58219 174657 14829211 44487633 103804477 311413431