Search a number
-
+
232101 = 32173741
BaseRepresentation
bin111000101010100101
3102210101100
4320222211
524411401
64550313
71654452
oct705245
9383340
10232101
11149421
12b2399
138184c
1460829
1548b86
hex38aa5

232101 has 24 divisors (see below), whose sum is σ = 373464. Its totient is φ = 138240.

The previous prime is 232091. The next prime is 232103. The reversal of 232101 is 101232.

232101 = T93 + T94 + ... + T129.

It is a happy number.

232101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

232101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 50625 + 181476 = 225^2 + 426^2 .

It is not a de Polignac number, because 232101 - 29 = 231589 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 even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5641 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2232101 is an apocalyptic number.

It is an amenable number.

232101 is a deficient number, since it is larger than the sum of its proper divisors (141363).

232101 is a wasteful number, since it uses less digits than its factorization.

232101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 232101 is about 481.7686166616. The cubic root of 232101 is about 61.4552520017.

Adding to 232101 its reverse (101232), we get a palindrome (333333).

It can be divided in two parts, 232 and 101, that multiplied together give a palindrome (23432).

The spelling of 232101 in words is "two hundred thirty-two thousand, one hundred one".

Divisors: 1 3 9 17 37 41 51 111 123 153 333 369 629 697 1517 1887 2091 4551 5661 6273 13653 25789 77367 232101