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52101 = 327827
BaseRepresentation
bin1100101110000101
32122110200
430232011
53131401
61041113
7304620
oct145605
978420
1052101
1136165
1226199
131a93a
1414db7
1510686
hexcb85

52101 has 12 divisors (see below), whose sum is σ = 86112. Its totient is φ = 29736.

The previous prime is 52081. The next prime is 52103. The reversal of 52101 is 10125.

Adding to 52101 its reverse (10125), we get a palindrome (62226).

It can be divided in two parts, 52 and 101, that added together give a triangular number (153 = T17).

It is a happy number.

52101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52101 - 25 = 52069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

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

52101 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (7176).

252101 is an apocalyptic number.

It is an amenable number.

52101 is a deficient number, since it is larger than the sum of its proper divisors (34011).

52101 is a wasteful number, since it uses less digits than its factorization.

52101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 52101 is about 228.2564347395. The cubic root of 52101 is about 37.3492615565.

The spelling of 52101 in words is "fifty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 63 827 2481 5789 7443 17367 52101