Search a number
-
+
11120545425 = 3521123283307
BaseRepresentation
bin10100101101101011…
…00000111010010001
31001201000021020110210
422112311200322101
5140233324423200
65035251514333
7542402035143
oct122665407221
931630236423
1011120545425
114797292410
1221a42b89a9
131082bb28c2
14776cccc93
15451451650
hex296d60e91

11120545425 has 144 divisors (see below), whose sum is σ = 21289137408. Its totient is φ = 5078620800.

The previous prime is 11120545411. The next prime is 11120545459. The reversal of 11120545425 is 52454502111.

It is not a de Polignac number, because 11120545425 - 24 = 11120545409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11120545392 and 11120545401.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36223122 + ... + 36223428.

It is an arithmetic number, because the mean of its divisors is an integer number (147841232).

Almost surely, 211120545425 is an apocalyptic number.

11120545425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11120545425 is a deficient number, since it is larger than the sum of its proper divisors (10168591983).

11120545425 is a wasteful number, since it uses less digits than its factorization.

11120545425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 11120545425 in words is "eleven billion, one hundred twenty million, five hundred forty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 23 25 33 55 69 75 83 115 165 249 253 275 307 345 415 529 575 759 825 913 921 1245 1265 1535 1587 1725 1909 2075 2645 2739 3377 3795 4565 4605 5727 5819 6225 6325 7061 7675 7935 9545 10131 13225 13695 16885 17457 18975 20999 21183 22825 23025 25481 28635 29095 35305 39675 43907 47725 50655 62997 68475 76443 77671 84425 87285 104995 105915 127405 131721 143175 145475 162403 176525 219535 233013 253275 280291 314985 382215 388355 436425 482977 487209 524975 529575 586063 637025 658605 812015 840873 1097675 1165065 1401455 1448931 1574925 1758189 1786433 1911075 1941775 2414885 2436045 2930315 3293025 4060075 4204365 5359299 5825325 6446693 7007275 7244655 8790945 8932165 12074425 12180225 13479449 14651575 19340079 21021825 26796495 32233465 36223275 40438347 43954725 44660825 67397245 96700395 133982475 148273939 161167325 202191735 336986225 444821817 483501975 741369695 1010958675 2224109085 3706848475 11120545425