Search a number
-
+
12022311301 = 71113234491163
BaseRepresentation
bin10110011001001010…
…11110100110000101
31011000212002200200221
423030211132212011
5144110202430201
65304543504341
7603631650160
oct131445364605
934025080627
1012022311301
11510a310470
1223b62b80b1
131197976c90
14820988ad7
154a56cb4a1
hex2cc95e985

12022311301 has 64 divisors (see below), whose sum is σ = 16895692800. Its totient is φ = 8245923840.

The previous prime is 12022311281. The next prime is 12022311319. The reversal of 12022311301 is 10311322021.

12022311301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12022311301 - 211 = 12022309253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022311341) 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 63 ways as a sum of consecutive naturals, for example, 10336746 + ... + 10337908.

It is an arithmetic number, because the mean of its divisors is an integer number (263995200).

Almost surely, 212022311301 is an apocalyptic number.

12022311301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022311301 is a deficient number, since it is larger than the sum of its proper divisors (4873381499).

12022311301 is a wasteful number, since it uses less digits than its factorization.

12022311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12022311301 its reverse (10311322021), we get a palindrome (22333633322).

It can be divided in two parts, 12022 and 311301, that added together give a palindrome (323323).

The spelling of 12022311301 in words is "twelve billion, twenty-two million, three hundred eleven thousand, three hundred one".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 449 1001 1163 1771 2093 3143 3289 4939 5837 8141 10327 12793 15119 23023 26749 34573 40859 64207 72289 89551 105833 113597 134251 166309 187243 294239 347737 449449 522187 795179 939757 1164163 1476761 2059673 2434159 3655309 3825107 5744057 6788431 10337327 12010301 26775749 40208399 47519017 74672741 84072107 132113311 156133913 522709187 924793177 1092937391 1717473043 12022311301