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12642101 = 171136581
BaseRepresentation
bin110000001110…
…011100110101
3212210021200222
4300032130311
511214021401
61130544125
7212312303
oct60163465
925707628
1012642101
11715521a
124298045
132808344
141971273
15119ac1b
hexc0e735

12642101 has 8 divisors (see below), whose sum is σ = 13506264. Its totient is φ = 11791360.

The previous prime is 12642083. The next prime is 12642109. The reversal of 12642101 is 10124621.

12642101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 75076 + 12567025 = 274^2 + 3545^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12642101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12642101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1370 + ... + 5211.

It is an arithmetic number, because the mean of its divisors is an integer number (1688283).

Almost surely, 212642101 is an apocalyptic number.

It is an amenable number.

12642101 is a deficient number, since it is larger than the sum of its proper divisors (864163).

12642101 is a wasteful number, since it uses less digits than its factorization.

12642101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6711.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12642101 is about 3555.5732308588. The cubic root of 12642101 is about 232.9555626357.

Adding to 12642101 its reverse (10124621), we get a palindrome (22766722).

The spelling of 12642101 in words is "twelve million, six hundred forty-two thousand, one hundred one".

Divisors: 1 17 113 1921 6581 111877 743653 12642101