Search a number
-
+
21178817116171 = 1113593413735491
BaseRepresentation
bin1001101000011000100111…
…10111101111100000001011
32202222200020011211121211021
410310030103313233200023
510233443204140204141
6113013225252013311
74314055555131061
oct464142367574013
982880204747737
1021178817116171
116825982149a70
12246071b001237
13ba8200113250
145330bb348031
1526ad9a04b6d1
hex134313def80b

21178817116171 has 32 divisors (see below), whose sum is σ = 25310574455040. Its totient is φ = 17466063484800.

The previous prime is 21178817116103. The next prime is 21178817116267. The reversal of 21178817116171 is 17161171887112.

It is a cyclic number.

It is not a de Polignac number, because 21178817116171 - 229 = 21178280245259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21178817111171) 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, 28427736 + ... + 29163226.

It is an arithmetic number, because the mean of its divisors is an integer number (790955451720).

Almost surely, 221178817116171 is an apocalyptic number.

21178817116171 is a deficient number, since it is larger than the sum of its proper divisors (4131757338869).

21178817116171 is a wasteful number, since it uses less digits than its factorization.

21178817116171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738987.

The product of its digits is 263424, while the sum is 52.

The spelling of 21178817116171 in words is "twenty-one trillion, one hundred seventy-eight billion, eight hundred seventeen million, one hundred sixteen thousand, one hundred seventy-one".

Divisors: 1 11 13 59 143 649 767 3413 8437 37543 44369 201367 488059 735491 2215037 2617771 8090401 9561383 28795481 43393969 105175213 477333659 564121597 2510230783 6205337567 27612538613 32633000179 148103616197 358963001969 1629139778167 1925347010561 21178817116171