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13712101 = 137314449
BaseRepresentation
bin110100010011…
…101011100101
3221210122110121
4310103223211
512002241401
61205521541
7224356654
oct64235345
927718417
1013712101
117816117
1247132b1
132ac1390
141b6d19b
15130cca1
hexd13ae5

13712101 has 8 divisors (see below), whose sum is σ = 14970200. Its totient is φ = 12483072.

The previous prime is 13712093. The next prime is 13712119. The reversal of 13712101 is 10121731.

It can be written as a sum of positive squares in 4 ways, for example, as 3940225 + 9771876 = 1985^2 + 3126^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13712101 - 23 = 13712093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13712161) 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 7 ways as a sum of consecutive naturals, for example, 6276 + ... + 8173.

It is an arithmetic number, because the mean of its divisors is an integer number (1871275).

Almost surely, 213712101 is an apocalyptic number.

It is an amenable number.

13712101 is a deficient number, since it is larger than the sum of its proper divisors (1258099).

13712101 is a wasteful number, since it uses less digits than its factorization.

13712101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14535.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 13712101 is about 3702.9854172006. The cubic root of 13712101 is about 239.3506811981.

Adding to 13712101 its reverse (10121731), we get a palindrome (23833832).

The spelling of 13712101 in words is "thirteen million, seven hundred twelve thousand, one hundred one".

Divisors: 1 13 73 949 14449 187837 1054777 13712101