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201110013225 = 32521127386961
BaseRepresentation
bin1011101101001100010…
…1110100010100101001
3201020002200222012101100
42323103011310110221
511243333130410400
6232215541312013
720346456623112
oct2732305642451
9636080865340
10201110013225
11783213a5600
1232b87405609
1315c70297734
149a3b6a9209
155370b37100
hex2ed3174529

201110013225 has 54 divisors (see below), whose sum is σ = 395933776238. Its totient is φ = 97507872000.

The previous prime is 201110013217. The next prime is 201110013239. The reversal of 201110013225 is 522310011102.

201110013225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1225910169 + 199884103056 = 35013^2 + 447084^2 .

It is not a de Polignac number, because 201110013225 - 23 = 201110013217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201110013198 and 201110013207.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 3666256 + ... + 3720705.

Almost surely, 2201110013225 is an apocalyptic number.

201110013225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

201110013225 is a deficient number, since it is larger than the sum of its proper divisors (194823763013).

201110013225 is a wasteful number, since it uses less digits than its factorization.

201110013225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386999 (or 7386980 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 201110013225 its reverse (522310011102), we get a palindrome (723420024327).

The spelling of 201110013225 in words is "two hundred one billion, one hundred ten million, thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 495 605 825 1089 1815 2475 3025 5445 9075 27225 7386961 22160883 36934805 66482649 81256571 110804415 184674025 243769713 332413245 406282855 554022075 731309139 893822281 1218848565 1662066225 2031414275 2681466843 3656545695 4469111405 6094242825 8044400529 13407334215 18282728475 22345557025 40222002645 67036671075 201110013225