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1231321 = 72131933
BaseRepresentation
bin100101100100111011001
32022120001111
410230213121
5303400241
642220321
713315600
oct4544731
92276044
101231321
11771123
124b46a1
133415c0
14240a37
15194c81
hex12c9d9

1231321 has 12 divisors (see below), whose sum is σ = 1543332. Its totient is φ = 973728.

The previous prime is 1231319. The next prime is 1231337.

It can be divided in two parts, 123 and 1321, that added together give a square (1444 = 382).

1231321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 490000 + 741321 = 700^2 + 861^2 .

It is not a de Polignac number, because 1231321 - 21 = 1231319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

1231321 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1231301) 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, 330 + ... + 1603.

It is an arithmetic number, because the mean of its divisors is an integer number (128611).

21231321 is an apocalyptic number.

It is an amenable number.

1231321 is a deficient number, since it is larger than the sum of its proper divisors (312011).

1231321 is a wasteful number, since it uses less digits than its factorization.

1231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

The product of its digits is 36, while the sum is 13.

The square root of 1231321 is about 1109.6490436169. The cubic root of 1231321 is about 107.1824702624.

The spelling of 1231321 in words is "one million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 13 49 91 637 1933 13531 25129 94717 175903 1231321