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214101 = 3223789
BaseRepresentation
bin110100010001010101
3101212200200
4310101111
523322401
64331113
71551126
oct642125
9355620
10214101
11136948
12a3a99
13765b4
145804d
1543686
hex34455

214101 has 6 divisors (see below), whose sum is σ = 309270. Its totient is φ = 142728.

The previous prime is 214091. The next prime is 214129. The reversal of 214101 is 101412.

Adding to 214101 its reverse (101412), we get a palindrome (315513).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 152100 + 62001 = 390^2 + 249^2 .

It is not a de Polignac number, because 214101 - 25 = 214069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23789 = 214101 / (2 + 1 + 4 + 1 + 0 + 1).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11886 + ... + 11903.

It is an arithmetic number, because the mean of its divisors is an integer number (51545).

2214101 is an apocalyptic number.

It is an amenable number.

214101 is a deficient number, since it is larger than the sum of its proper divisors (95169).

214101 is a wasteful number, since it uses less digits than its factorization.

214101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23795 (or 23792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 214101 is about 462.7104926409. The cubic root of 214101 is about 59.8236488457.

The spelling of 214101 in words is "two hundred fourteen thousand, one hundred one", and thus it is an iban number.

Divisors: 1 3 9 23789 71367 214101