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12022210101 = 31123293171723
BaseRepresentation
bin10110011001001010…
…00101111000110101
31011000211220112212210
423030211011320311
5144110141210401
65304541404033
7603631046136
oct131445057065
934024815783
1012022210101
11510a251430
1223b6269619
13119793cbb5
1482095dc8d
154a56ab4d6
hex2cc945e35

12022210101 has 64 divisors (see below), whose sum is σ = 18946897920. Its totient is φ = 6703952640.

The previous prime is 12022210097. The next prime is 12022210103. The reversal of 12022210101 is 10101222021.

12022210101 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 12022210101 - 22 = 12022210097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022210103) 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, 6976626 + ... + 6978348.

It is an arithmetic number, because the mean of its divisors is an integer number (296045280).

Almost surely, 212022210101 is an apocalyptic number.

12022210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12022210101 is a deficient number, since it is larger than the sum of its proper divisors (6924687819).

12022210101 is a wasteful number, since it uses less digits than its factorization.

12022210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12022210101 its reverse (10101222021), we get a palindrome (22123432122).

The spelling of 12022210101 in words is "twelve billion, twenty-two million, two hundred ten thousand, one hundred one".

Divisors: 1 3 11 23 29 33 69 87 253 317 319 667 759 951 957 1723 2001 3487 5169 7291 7337 9193 10461 18953 21873 22011 27579 39629 49967 56859 80201 101123 118887 149901 211439 240603 303369 435919 546191 549637 634317 1149241 1307757 1638573 1648911 2325829 3447723 6008101 6977487 12562393 12641651 15839539 18024303 37687179 37924953 47518617 138186323 174234929 364309397 414558969 522704787 1092928191 4007403367 12022210101