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11514210225 = 352771308899
BaseRepresentation
bin10101011100100110…
…01110011110110001
31002201110000111001120
422232103032132301
5142040114211400
65142313252453
7555222113010
oct125623163661
932643014046
1011514210225
114979520621
122294104129
13111661675b
147b32c4a77
15475cb2ca0
hex2ae4ce7b1

11514210225 has 48 divisors (see below), whose sum is σ = 22062873600. Its totient is φ = 5189486400.

The previous prime is 11514210209. The next prime is 11514210241. The reversal of 11514210225 is 52201241511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11514210209) and next prime (11514210241).

It is not a de Polignac number, because 11514210225 - 24 = 11514210209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11514210195 and 11514210204.

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 47 ways as a sum of consecutive naturals, for example, 117175 + ... + 191724.

It is an arithmetic number, because the mean of its divisors is an integer number (459643200).

Almost surely, 211514210225 is an apocalyptic number.

11514210225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11514210225 is a deficient number, since it is larger than the sum of its proper divisors (10548663375).

11514210225 is a wasteful number, since it uses less digits than its factorization.

11514210225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308990 (or 308985 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 11514210225 its reverse (52201241511), we get a palindrome (63715451736).

The spelling of 11514210225 in words is "eleven billion, five hundred fourteen million, two hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 71 75 105 175 213 355 497 525 1065 1491 1775 2485 5325 7455 12425 37275 308899 926697 1544495 2162293 4633485 6486879 7722475 10811465 21931829 23167425 32434395 54057325 65795487 109659145 153522803 162171975 328977435 460568409 548295725 767614015 1644887175 2302842045 3838070075 11514210225