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31114111 = 7311271129
BaseRepresentation
bin111011010110…
…0001101111111
32011112202112111
41312230031333
530431122421
63030514451
7525315460
oct166541577
964482474
1031114111
1116621546
12a505a27
1365a5122
1441bcd67
152ae8ee1
hex1dac37f

31114111 has 16 divisors (see below), whose sum is σ = 37027840. Its totient is φ = 25583040.

The previous prime is 31114099. The next prime is 31114157. The reversal of 31114111 is 11141113.

It is a happy number.

It is not a de Polignac number, because 31114111 - 25 = 31114079 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31114091 and 31114100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31114411) 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, 26995 + ... + 28123.

It is an arithmetic number, because the mean of its divisors is an integer number (2314240).

Almost surely, 231114111 is an apocalyptic number.

31114111 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31114111 is a deficient number, since it is larger than the sum of its proper divisors (5913729).

31114111 is a wasteful number, since it uses less digits than its factorization.

31114111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294.

The product of its digits is 12, while the sum is 13.

The square root of 31114111 is about 5578.0024202218. The cubic root of 31114111 is about 314.5230406660.

Adding to 31114111 its reverse (11141113), we get a palindrome (42255224).

The spelling of 31114111 in words is "thirty-one million, one hundred fourteen thousand, one hundred eleven".

Divisors: 1 7 31 127 217 889 1129 3937 7903 27559 34999 143383 244993 1003681 4444873 31114111