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31107 = 310369
BaseRepresentation
bin111100110000011
31120200010
413212003
51443412
6400003
7156456
oct74603
946603
1031107
112140a
1216003
131120b
14b49d
15933c
hex7983

31107 has 4 divisors (see below), whose sum is σ = 41480. Its totient is φ = 20736.

The previous prime is 31091. The next prime is 31121. The reversal of 31107 is 70113.

31107 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70113 = 323371.

It is not a de Polignac number, because 31107 - 24 = 31091 is a prime.

It is a D-number.

It is a Duffinian number.

31107 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 31092 and 31101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31107.

It is not an unprimeable number, because it can be changed into a prime (31147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5182 + ... + 5187.

It is an arithmetic number, because the mean of its divisors is an integer number (10370).

231107 is an apocalyptic number.

31107 is a deficient number, since it is larger than the sum of its proper divisors (10373).

31107 is a wasteful number, since it uses less digits than its factorization.

31107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10372.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 31107 is about 176.3717664480. The cubic root of 31107 is about 31.4499077865.

It can be divided in two parts, 3 and 1107, that multiplied together give a triangular number (3321 = T81).

The spelling of 31107 in words is "thirty-one thousand, one hundred seven".

Divisors: 1 3 10369 31107