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31108 = 22711101
BaseRepresentation
bin111100110000100
31120200011
413212010
51443413
6400004
7156460
oct74604
946604
1031108
1121410
1216004
131120c
14b4a0
15933d
hex7984

31108 has 24 divisors (see below), whose sum is σ = 68544. Its totient is φ = 12000.

The previous prime is 31091. The next prime is 31121. The reversal of 31108 is 80113.

Multipling 31108 by its sum of digits (13), we get a palindrome (404404).

It can be divided in two parts, 3 and 1108, that added together give a palindrome (1111).

31108 is nontrivially palindromic in base 6.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 358.

It is an arithmetic number, because the mean of its divisors is an integer number (2856).

231108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272).

31108 is an abundant number, since it is smaller than the sum of its proper divisors (37436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31108 is a wasteful number, since it uses less digits than its factorization.

31108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 31108 is about 176.3746013461. The cubic root of 31108 is about 31.4502447907.

The spelling of 31108 in words is "thirty-one thousand, one hundred eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 2222 2828 4444 7777 15554 31108