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11522315200225 = 52656970161761
BaseRepresentation
bin1010011110101011111110…
…0000010010011011100001
31111210112002221212000110011
42213222333200102123201
53002240200142401400
640301140055004521
72266313466136534
oct247527740223341
944715087760404
1011522315200225
11374264a5a9645
121361128069741
1365771b7b43cb
142bb97c348a1b
1514eac642d8ba
hexa7abf8126e1

11522315200225 has 12 divisors (see below), whose sum is σ = 14289846066540. Its totient is φ = 9216448793600.

The previous prime is 11522315200219. The next prime is 11522315200327. The reversal of 11522315200225 is 52200251322511.

It can be written as a sum of positive squares in 6 ways, for example, as 619104596224 + 10903210604001 = 786832^2 + 3302001^2 .

It is a de Polignac number, because none of the positive numbers 2k-11522315200225 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34916656 + ... + 35245105.

It is an arithmetic number, because the mean of its divisors is an integer number (1190820505545).

Almost surely, 211522315200225 is an apocalyptic number.

It is an amenable number.

11522315200225 is a deficient number, since it is larger than the sum of its proper divisors (2767530866315).

11522315200225 is an equidigital number, since it uses as much as digits as its factorization.

11522315200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70168340 (or 70168335 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 11522315200225 its reverse (52200251322511), we get a palindrome (63722566522736).

The spelling of 11522315200225 in words is "eleven trillion, five hundred twenty-two billion, three hundred fifteen million, two hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 6569 32845 164225 70161761 350808805 1754044025 460892608009 2304463040045 11522315200225