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12101320231 = 73113132039
BaseRepresentation
bin10110100010100101…
…10111111000100111
31011020100202202120121
423101102313320213
5144240414221411
65320445142411
7605611345000
oct132122677047
934210682517
1012101320231
11514a975000
12241885aa07
1311ab14b220
1482b2741a7
154ac5d6571
hex2d14b7e27

12101320231 has 64 divisors (see below), whose sum is σ = 16724736000. Its totient is φ = 8699977440.

The previous prime is 12101320207. The next prime is 12101320243. The reversal of 12101320231 is 13202310121.

It is not a de Polignac number, because 12101320231 - 25 = 12101320199 is a prime.

It is a super-2 number, since 2×121013202312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101320031) 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 63 ways as a sum of consecutive naturals, for example, 5933910 + ... + 5935948.

It is an arithmetic number, because the mean of its divisors is an integer number (261324000).

Almost surely, 212101320231 is an apocalyptic number.

12101320231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101320231 is a deficient number, since it is larger than the sum of its proper divisors (4623415769).

12101320231 is an equidigital number, since it uses as much as digits as its factorization.

12101320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2070 counting only the distinct ones).

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

Adding to 12101320231 its reverse (13202310121), we get a palindrome (25303630352).

The spelling of 12101320231 in words is "twelve billion, one hundred one million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 121 143 343 539 637 847 1001 1331 1573 2039 3773 4459 5929 7007 9317 11011 14273 17303 22429 26507 41503 49049 65219 77077 99911 121121 157003 185549 246719 291577 456533 539539 699377 847847 1099021 1298843 1727033 2041039 2713909 3207347 5934929 7693147 9091901 12089231 14287273 18997363 22451429 35280817 84624617 100010911 132981541 157160003 246965719 930870787 1100120021 1728760033 12101320231