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107213 = 293697
BaseRepresentation
bin11010001011001101
312110001212
4122023031
511412323
62144205
7624401
oct321315
9173055
10107213
1173607
1252065
1339a52
142b101
1521b78
hex1a2cd

107213 has 4 divisors (see below), whose sum is σ = 110940. Its totient is φ = 103488.

The previous prime is 107209. The next prime is 107227. The reversal of 107213 is 312701.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29929 + 77284 = 173^2 + 278^2 .

It is a cyclic number.

It is not a de Polignac number, because 107213 - 22 = 107209 is a prime.

It is a super-2 number, since 2×1072132 = 22989254738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107213.

It is not an unprimeable number, because it can be changed into a prime (107243) 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, 1820 + ... + 1877.

It is an arithmetic number, because the mean of its divisors is an integer number (27735).

2107213 is an apocalyptic number.

It is an amenable number.

107213 is a deficient number, since it is larger than the sum of its proper divisors (3727).

107213 is an equidigital number, since it uses as much as digits as its factorization.

107213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 107213 is about 327.4339628078. The cubic root of 107213 is about 47.5060749386.

Adding to 107213 its reverse (312701), we get a palindrome (419914).

It can be divided in two parts, 107 and 213, that multiplied together give a triangular number (22791 = T213).

The spelling of 107213 in words is "one hundred seven thousand, two hundred thirteen".

Divisors: 1 29 3697 107213