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20431161 = 3217413257
BaseRepresentation
bin100110111110…
…0000100111001
31102110000021200
41031330010321
520212244121
62005524413
7335443032
oct115740471
942400250
1020431161
1110595263
126a13709
13430475a
1429dba89
151bd8a26
hex137c139

20431161 has 24 divisors (see below), whose sum is σ = 32019624. Its totient is φ = 12503040.

The previous prime is 20431123. The next prime is 20431171. The reversal of 20431161 is 16113402.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3980025 + 16451136 = 1995^2 + 4056^2 .

It is not a de Polignac number, because 20431161 - 26 = 20431097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4645 + ... + 7901.

It is an arithmetic number, because the mean of its divisors is an integer number (1334151).

Almost surely, 220431161 is an apocalyptic number.

It is an amenable number.

20431161 is a deficient number, since it is larger than the sum of its proper divisors (11588463).

20431161 is a wasteful number, since it uses less digits than its factorization.

20431161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20431161 is about 4520.0841806320. The cubic root of 20431161 is about 273.3784952477.

Adding to 20431161 its reverse (16113402), we get a palindrome (36544563).

The spelling of 20431161 in words is "twenty million, four hundred thirty-one thousand, one hundred sixty-one".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 3257 6273 9771 29313 55369 133537 166107 400611 498321 1201833 2270129 6810387 20431161