Search a number
-
+
102231 = 3237307
BaseRepresentation
bin11000111101010111
312012020100
4120331113
511232411
62105143
7604023
oct307527
9165210
10102231
116a898
124b1b3
13376bc
1429383
1520456
hex18f57

102231 has 12 divisors (see below), whose sum is σ = 152152. Its totient is φ = 66096.

The previous prime is 102229. The next prime is 102233. The reversal of 102231 is 132201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102229) and next prime (102233).

It is not a de Polignac number, because 102231 - 21 = 102229 is a prime.

It is a super-2 number, since 2×1022312 = 20902354722, which contains 22 as substring.

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

It is a Duffinian number.

102231 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180 + ... + 486.

2102231 is an apocalyptic number.

102231 is a deficient number, since it is larger than the sum of its proper divisors (49921).

102231 is a wasteful number, since it uses less digits than its factorization.

102231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

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

The square root of 102231 is about 319.7358284584. The cubic root of 102231 is about 46.7585321917.

Adding to 102231 its reverse (132201), we get a palindrome (234432).

It can be divided in two parts, 102 and 231, that added together give a palindrome (333).

The spelling of 102231 in words is "one hundred two thousand, two hundred thirty-one".

Divisors: 1 3 9 37 111 307 333 921 2763 11359 34077 102231