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217121570670133 is a prime number
BaseRepresentation
bin110001010111100010001110…
…000101111100011000110101
31001110202121201120111012122101
4301113202032011330120311
5211424304434042421013
62045440134513302101
763506341632620053
oct6127421605743065
91043677646435571
10217121570670133
11631aa817328518
1220427746864931
13941c626463b9c
143b88a50b4d1d3
151a17c6c4e08dd
hexc5788e17c635

217121570670133 has 2 divisors, whose sum is σ = 217121570670134. Its totient is φ = 217121570670132.

The previous prime is 217121570670079. The next prime is 217121570670143. The reversal of 217121570670133 is 331076075121712.

217121570670133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217120873340484 + 697329649 = 14735022^2 + 26407^2 .

It is a cyclic number.

It is not a de Polignac number, because 217121570670133 - 221 = 217121568572981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217121570670143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108560785335066 + 108560785335067.

It is an arithmetic number, because the mean of its divisors is an integer number (108560785335067).

Almost surely, 2217121570670133 is an apocalyptic number.

It is an amenable number.

217121570670133 is a deficient number, since it is larger than the sum of its proper divisors (1).

217121570670133 is an equidigital number, since it uses as much as digits as its factorization.

217121570670133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 370440, while the sum is 46.

The spelling of 217121570670133 in words is "two hundred seventeen trillion, one hundred twenty-one billion, five hundred seventy million, six hundred seventy thousand, one hundred thirty-three".