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10801 = 71543
BaseRepresentation
bin10101000110001
3112211001
42220301
5321201
6122001
743330
oct25061
915731
1010801
11812a
126301
134bbb
143d17
153301
hex2a31

10801 has 4 divisors (see below), whose sum is σ = 12352. Its totient is φ = 9252.

The previous prime is 10799. The next prime is 10831.

It can be divided in two parts, 1080 and 1, that added together give a triangular number (1081 = T46).

10801 = T21 + T22 + ... + T41.

10801 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10801 - 21 = 10799 is a prime.

10801 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10831) 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, 765 + ... + 778.

It is an arithmetic number, because the mean of its divisors is an integer number (3088).

210801 is an apocalyptic number.

It is an amenable number.

10801 is a deficient number, since it is larger than the sum of its proper divisors (1551).

10801 is an equidigital number, since it uses as much as digits as its factorization.

10801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 10801 is about 103.9278595950. The cubic root of 10801 is about 22.1048711988.

The spelling of 10801 in words is "ten thousand, eight hundred one".

Divisors: 1 7 1543 10801