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202121202193 is a prime number
BaseRepresentation
bin1011110000111101011…
…1001100101000010001
3201022201011200220212121
42330033113030220101
511302421011432233
6232504142454241
720413515604651
oct2741727145021
9638634626777
10202121202193
11787a0170869
1233209b94381
13160a19216c1
149ad5aca361
1553ce7c892d
hex2f0f5cca11

202121202193 has 2 divisors, whose sum is σ = 202121202194. Its totient is φ = 202121202192.

The previous prime is 202121202169. The next prime is 202121202197. The reversal of 202121202193 is 391202121202.

202121202193 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., 113631016464 + 88490185729 = 337092^2 + 297473^2 .

It is a cyclic number.

It is not a de Polignac number, because 202121202193 - 25 = 202121202161 is a prime.

It is not a weakly prime, because it can be changed into another prime (202121202197) 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 as a sum of consecutive naturals, namely, 101060601096 + 101060601097.

It is an arithmetic number, because the mean of its divisors is an integer number (101060601097).

Almost surely, 2202121202193 is an apocalyptic number.

It is an amenable number.

202121202193 is a deficient number, since it is larger than the sum of its proper divisors (1).

202121202193 is an equidigital number, since it uses as much as digits as its factorization.

202121202193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 202121202193 its reverse (391202121202), we get a palindrome (593323323395).

The spelling of 202121202193 in words is "two hundred two billion, one hundred twenty-one million, two hundred two thousand, one hundred ninety-three".