Search a number
-
+
11172327111 = 3311291297147
BaseRepresentation
bin10100110011110110…
…00010111011000111
31001211121201000121000
422121323002323013
5140340103431421
65044341424343
7543601133151
oct123173027307
931747630530
1011172327111
11481353a7a0
1221b970b0b3
131090842c5a
1477db2bad1
15455c7e226
hex299ec2ec7

11172327111 has 32 divisors (see below), whose sum is σ = 18678931200. Its totient is φ = 6537615840.

The previous prime is 11172327097. The next prime is 11172327113.

11172327111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11172327111 - 217 = 11172196039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11172327113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639961 + ... + 657186.

It is an arithmetic number, because the mean of its divisors is an integer number (583716600).

Almost surely, 211172327111 is an apocalyptic number.

11172327111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11172327111 is a deficient number, since it is larger than the sum of its proper divisors (7506604089).

11172327111 is a wasteful number, since it uses less digits than its factorization.

11172327111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297196 (or 1297190 counting only the distinct ones).

The product of its digits is 588, while the sum is 27.

The spelling of 11172327111 in words is "eleven billion, one hundred seventy-two million, three hundred twenty-seven thousand, one hundred eleven".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 1297147 3891441 11674323 14268617 35022969 37617263 42805851 112851789 128417553 338555367 385252659 413789893 1015666101 1241369679 3724109037 11172327111