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12231713 = 132157461
BaseRepresentation
bin101110101010…
…010000100001
3212000102202102
4232222100201
511112403323
61114100145
7205652654
oct56522041
925012672
1012231713
1169a495a
12411a655
1326c3600
1418a589b
151119328
hexbaa421

12231713 has 12 divisors (see below), whose sum is σ = 13358268. Its totient is φ = 11194560.

The previous prime is 12231697. The next prime is 12231731. The reversal of 12231713 is 31713221.

It can be written as a sum of positive squares in 6 ways, for example, as 3775249 + 8456464 = 1943^2 + 2908^2 .

It is not a de Polignac number, because 12231713 - 24 = 12231697 is a prime.

It is a super-2 number, since 2×122317132 = 299229605828738, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12231733) 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, 26303 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (1113189).

Almost surely, 212231713 is an apocalyptic number.

12231713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12231713 is a deficient number, since it is larger than the sum of its proper divisors (1126555).

12231713 is a wasteful number, since it uses less digits than its factorization.

12231713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 12231713 is about 3497.3865957312. The cubic root of 12231713 is about 230.4070485663.

Adding to 12231713 its reverse (31713221), we get a palindrome (43944934).

It can be divided in two parts, 122317 and 13, that multiplied together give a square (1590121 = 12612).

The spelling of 12231713 in words is "twelve million, two hundred thirty-one thousand, seven hundred thirteen".

Divisors: 1 13 157 169 461 2041 5993 26533 72377 77909 940901 12231713