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201135661641 = 3223971669863
BaseRepresentation
bin1011101101010010011…
…1101010001001001001
3201020011111020021101200
42323110213222021021
511243411212133031
6232222255134413
720350220625615
oct2732447521111
9636144207350
10201135661641
1178334923642
1232b93b14409
1315c756a7b05
149a40c64345
1553730018e6
hex2ed49ea249

201135661641 has 12 divisors (see below), whose sum is σ = 303160997568. Its totient is φ = 128260421784.

The previous prime is 201135661637. The next prime is 201135661663. The reversal of 201135661641 is 146166531102.

201135661641 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 5 + 6 + 6 + 1 + 641 = 666.

201135661641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201135661641 - 22 = 201135661637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201135661596 and 201135661605.

It is not an unprimeable number, because it can be changed into a prime (201135661621) 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 11 ways as a sum of consecutive naturals, for example, 485834725 + ... + 485835138.

It is an arithmetic number, because the mean of its divisors is an integer number (25263416464).

Almost surely, 2201135661641 is an apocalyptic number.

It is an amenable number.

201135661641 is a deficient number, since it is larger than the sum of its proper divisors (102025335927).

201135661641 is a wasteful number, since it uses less digits than its factorization.

201135661641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971669892 (or 971669889 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 201135661641 in words is "two hundred one billion, one hundred thirty-five million, six hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 9 23 69 207 971669863 2915009589 8745028767 22348406849 67045220547 201135661641