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11314132305225 = 3521741759212501
BaseRepresentation
bin1010010010100100011011…
…0101100100010101001001
31111001121202100000012021120
42210221012311210111021
52440332320332231400
640021350213025453
72245263513546021
oct244510665442511
944047670005246
1011314132305225
113672329800302
121328908025289
13640bc20a6639
142b186d590a81
1514948e8d2ca0
hexa4a46d64549

11314132305225 has 48 divisors (see below), whose sum is σ = 19806954416640. Its totient is φ = 5679088000000.

The previous prime is 11314132305221. The next prime is 11314132305277. The reversal of 11314132305225 is 52250323141311.

It is a happy number.

It is not a de Polignac number, because 11314132305225 - 22 = 11314132305221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11314132305221) by changing a digit.

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, 53136475 + ... + 53348975.

It is an arithmetic number, because the mean of its divisors is an integer number (412644883680).

Almost surely, 211314132305225 is an apocalyptic number.

11314132305225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11314132305225 is a deficient number, since it is larger than the sum of its proper divisors (8492822111415).

11314132305225 is a wasteful number, since it uses less digits than its factorization.

11314132305225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254290 (or 254285 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 11314132305225 its reverse (52250323141311), we get a palindrome (63564455446536).

The spelling of 11314132305225 in words is "eleven trillion, three hundred fourteen billion, one hundred thirty-two million, three hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 85 255 425 1275 41759 125277 208795 212501 626385 637503 709903 1043975 1062505 2129709 3131925 3187515 3549515 3612517 5312525 10648545 10837551 15937575 17747575 18062585 53242725 54187755 90312925 270938775 8873829259 26621487777 44369146295 133107438885 150855097403 221845731475 452565292209 665537194425 754275487015 2262826461045 3771377435075 11314132305225