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20231321 = 112612741
BaseRepresentation
bin100110100101…
…1010010011001
31102001212011012
41031023102121
520134400241
62001343305
7333651305
oct115132231
942055135
1020231321
1110469100
126937b35
1342647c6
142988d05
151b996eb
hex134b499

20231321 has 12 divisors (see below), whose sum is σ = 22610532. Its totient is φ = 18084000.

The previous prime is 20231303. The next prime is 20231339. The reversal of 20231321 is 12313202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20231303) and next prime (20231339).

It can be written as a sum of positive squares in 2 ways, for example, as 2758921 + 17472400 = 1661^2 + 4180^2 .

It is not a de Polignac number, because 20231321 - 210 = 20230297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20231296 and 20231305.

It is not an unprimeable number, because it can be changed into a prime (20233321) 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, 6011 + ... + 8751.

It is an arithmetic number, because the mean of its divisors is an integer number (1884211).

Almost surely, 220231321 is an apocalyptic number.

It is an amenable number.

20231321 is a deficient number, since it is larger than the sum of its proper divisors (2379211).

20231321 is a wasteful number, since it uses less digits than its factorization.

20231321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 20231321 is about 4497.9240767270. The cubic root of 20231321 is about 272.4842557466.

Adding to 20231321 its reverse (12313202), we get a palindrome (32544523).

The spelling of 20231321 in words is "twenty million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 11 61 121 671 2741 7381 30151 167201 331661 1839211 20231321