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231021 = 32719193
BaseRepresentation
bin111000011001101101
3102201220100
4320121231
524343041
64541313
71651350
oct703155
9381810
10231021
1114862a
12b1839
13811cb
1460297
15486b6
hex3866d

231021 has 24 divisors (see below), whose sum is σ = 403520. Its totient is φ = 124416.

The previous prime is 231019. The next prime is 231031. The reversal of 231021 is 120132.

Adding to 231021 its reverse (120132), we get a palindrome (351153).

Subtracting from 231021 its reverse (120132), we obtain a square (110889 = 3332).

It is a happy number.

It is not a de Polignac number, because 231021 - 21 = 231019 is a prime.

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

It is a Duffinian number.

231021 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 230994 and 231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231001) 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, 1101 + ... + 1293.

2231021 is an apocalyptic number.

231021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231021 is a deficient number, since it is larger than the sum of its proper divisors (172499).

231021 is a wasteful number, since it uses less digits than its factorization.

231021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 222 counting only the distinct ones).

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

The square root of 231021 is about 480.6464397039. The cubic root of 231021 is about 61.3597836713.

The spelling of 231021 in words is "two hundred thirty-one thousand, twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 193 399 579 1197 1351 1737 3667 4053 11001 12159 25669 33003 77007 231021