Search a number
-
+
21717422127 = 322953817151
BaseRepresentation
bin10100001110011101…
…011001000000101111
32002001112011100111200
4110032131121000233
5323434130002002
613550555420543
71366115020332
oct241635310057
962045140450
1021717422127
119234a11755
124261154753
13208144414b
1410a0424619
15871911b1c
hex50e75902f

21717422127 has 12 divisors (see below), whose sum is σ = 31380271104. Its totient is φ = 14473360800.

The previous prime is 21717422107. The next prime is 21717422137. The reversal of 21717422127 is 72122471712.

21717422127 is a `hidden beast` number, since 217 + 1 + 7 + 422 + 12 + 7 = 666.

It is not a de Polignac number, because 21717422127 - 26 = 21717422063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21717422091 and 21717422100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21717422107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381999 + ... + 435152.

It is an arithmetic number, because the mean of its divisors is an integer number (2615022592).

Almost surely, 221717422127 is an apocalyptic number.

21717422127 is a deficient number, since it is larger than the sum of its proper divisors (9662848977).

21717422127 is a wasteful number, since it uses less digits than its factorization.

21717422127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820110 (or 820107 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

Adding to 21717422127 its reverse (72122471712), we get a palindrome (93839893839).

The spelling of 21717422127 in words is "twenty-one billion, seven hundred seventeen million, four hundred twenty-two thousand, one hundred twenty-seven".

Divisors: 1 3 9 2953 8859 26577 817151 2451453 7354359 2413046903 7239140709 21717422127