Search a number
-
+
21214026106013 = 13172311336933847
BaseRepresentation
bin1001101001011010001100…
…11111011000010010011101
32210010001002221202121221002
410310231012133120102131
510240032311140343023
6113041331122520045
74316443225453166
oct464550637302235
983101087677832
1021214026106013
1168398aa763184
122467506506025
13bab62171b050
14534a9b4d676d
1526bc5b10eb28
hex134b467d849d

21214026106013 has 32 divisors (see below), whose sum is σ = 25464854048256. Its totient is φ = 17472959336448.

The previous prime is 21214026105989. The next prime is 21214026106033. The reversal of 21214026106013 is 31060162041212.

It is a cyclic number.

It is not a de Polignac number, because 21214026106013 - 216 = 21214026040477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214026106033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17892545 + ... + 19041302.

It is an arithmetic number, because the mean of its divisors is an integer number (795776689008).

Almost surely, 221214026106013 is an apocalyptic number.

21214026106013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21214026106013 is a deficient number, since it is larger than the sum of its proper divisors (4250827942243).

21214026106013 is a wasteful number, since it uses less digits than its factorization.

21214026106013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36934013.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 21214026106013 its reverse (31060162041212), we get a palindrome (52274188147225).

The spelling of 21214026106013 in words is "twenty-one trillion, two hundred fourteen billion, twenty-six million, one hundred six thousand, thirteen".

Divisors: 1 13 17 23 113 221 299 391 1469 1921 2599 5083 24973 33787 44183 574379 36933847 480140011 627875399 849478481 4173524711 8162380187 11043220253 14441134177 54255821243 70949920087 95991068353 187734744301 922348961131 1247883888589 1631848162001 21214026106013