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213153420125197 is a prime number
BaseRepresentation
bin110000011101110010100101…
…111000111010010000001101
31000221201021020100011110111001
4300131302211320322100031
5210414301201023001242
62033201155051500301
762616553312535026
oct6035624570722015
91027637210143431
10213153420125197
1161a0a948842942
121baa6689157691
1391c2386c47966
143a8c975725c4d
1519999226d5eb7
hexc1dca5e3a40d

213153420125197 has 2 divisors, whose sum is σ = 213153420125198. Its totient is φ = 213153420125196.

The previous prime is 213153420125117. The next prime is 213153420125267. The reversal of 213153420125197 is 791521024351312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211779505601316 + 1373914523881 = 14552646^2 + 1172141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213153420125197 is a prime.

It is a super-2 number, since 2×2131534201251972 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213153420125117) by changing a digit.

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 as a sum of consecutive naturals, namely, 106576710062598 + 106576710062599.

It is an arithmetic number, because the mean of its divisors is an integer number (106576710062599).

Almost surely, 2213153420125197 is an apocalyptic number.

It is an amenable number.

213153420125197 is a deficient number, since it is larger than the sum of its proper divisors (1).

213153420125197 is an equidigital number, since it uses as much as digits as its factorization.

213153420125197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 213153420125197 in words is "two hundred thirteen trillion, one hundred fifty-three billion, four hundred twenty million, one hundred twenty-five thousand, one hundred ninety-seven".