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14113121100221 = 111332287255349
BaseRepresentation
bin1100110101011111011110…
…0100011110000110111101
31211222012102200020020202002
43031113313210132012331
53322212133000201341
650003251152512045
72654432204006423
oct315276744360675
954865380206662
1014113121100221
114551382a29570
1216bb27384b625
137b4b27c56000
1436b115d7d113
151971ac00b29b
hexcd5f791e1bd

14113121100221 has 32 divisors (see below), whose sum is σ = 16685917248000. Its totient is φ = 11837953707840.

The previous prime is 14113121100203. The next prime is 14113121100223. The reversal of 14113121100221 is 12200112131141.

It is a happy number.

It is not a de Polignac number, because 14113121100221 - 226 = 14113053991357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14113121100193 and 14113121100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113121100223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55142255 + ... + 55397603.

It is an arithmetic number, because the mean of its divisors is an integer number (521434914000).

Almost surely, 214113121100221 is an apocalyptic number.

14113121100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14113121100221 is a deficient number, since it is larger than the sum of its proper divisors (2572796147779).

14113121100221 is a wasteful number, since it uses less digits than its factorization.

14113121100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257686 (or 257660 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 14113121100221 its reverse (12200112131141), we get a palindrome (26313233231362).

The spelling of 14113121100221 in words is "fourteen trillion, one hundred thirteen billion, one hundred twenty-one million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 13 143 169 1859 2197 2287 24167 25157 29731 255349 327041 386503 2808839 3319537 4251533 5024539 36514907 43153981 55269929 474693791 561001753 583983163 6171019283 6423814793 7591781119 83509592309 98693154547 1085624700017 1283011009111 14113121100221