Search a number
-
+
12241122114221 = 71113193531823303
BaseRepresentation
bin1011001000100001101110…
…1111000011101010101101
31121100020110211212122010022
42302020123233003222231
53101024304230123341
642011254401451525
72402251263116240
oct262103357035255
947306424778108
1012241122114221
11399a481343070
1214584b3040ba5
136aa4433b5810
1430468b2c5257
1516364662ee4b
hexb221bbc3aad

12241122114221 has 64 divisors (see below), whose sum is σ = 17349685678080. Its totient is φ = 8317757859840.

The previous prime is 12241122114211. The next prime is 12241122114239.

12241122114221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12241122114221 - 218 = 12241121852077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241122114211) 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 63 ways as a sum of consecutive naturals, for example, 5802056 + ... + 7625358.

It is an arithmetic number, because the mean of its divisors is an integer number (271088838720).

Almost surely, 212241122114221 is an apocalyptic number.

12241122114221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12241122114221 is a deficient number, since it is larger than the sum of its proper divisors (5108563563859).

12241122114221 is a wasteful number, since it uses less digits than its factorization.

12241122114221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823706.

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 1224112 and 2114221, that added together give a palindrome (3338333).

The spelling of 12241122114221 in words is "twelve trillion, two hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 7 11 13 19 77 91 133 143 209 247 353 1001 1463 1729 2471 2717 3883 4589 6707 19019 27181 32123 46949 50479 73777 87191 353353 516439 610337 959101 1823303 6713707 12763121 20056333 23702939 34642757 140394331 165920573 242499299 260732329 381070327 450355841 643625959 1825126303 2667492289 3152490887 4505381713 4953914251 7079885549 8367137467 12228893221 34677399757 49559198843 58569962269 85602252547 92038512137 134517825431 158975611873 644269584959 941624778017 1112829283111 1748731730603 12241122114221