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200201112077 is a prime number
BaseRepresentation
bin1011101001110011101…
…0101000101000001101
3201010202100201020101212
42322130322220220031
511240002441041302
6231545432344205
720315112242411
oct2723472505015
9633670636355
10200201112077
11779a534372a
1232972b45065
1315b56ba56c5
149992ab2d41
15531ae4d052
hex2e9cea8a0d

200201112077 has 2 divisors, whose sum is σ = 200201112078. Its totient is φ = 200201112076.

The previous prime is 200201111977. The next prime is 200201112101. The reversal of 200201112077 is 770211102002.

200201112077 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., 161323525801 + 38877586276 = 401651^2 + 197174^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201112077 - 214 = 200201095693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201112277) 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, 100100556038 + 100100556039.

It is an arithmetic number, because the mean of its divisors is an integer number (100100556039).

Almost surely, 2200201112077 is an apocalyptic number.

It is an amenable number.

200201112077 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201112077 is an equidigital number, since it uses as much as digits as its factorization.

200201112077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 200201112077 its reverse (770211102002), we get a palindrome (970412214079).

The spelling of 200201112077 in words is "two hundred billion, two hundred one million, one hundred twelve thousand, seventy-seven".