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202201112249 is a prime number
BaseRepresentation
bin1011110001010000100…
…0000001111010111001
3201022220202001202212022
42330110020001322321
511303101441042444
6232520115324225
720415506044613
oct2742410017271
9638822052768
10202201112249
1178831290434
12332308b0675
13160b534cb66
149b0256bdb3
1553d68109ee
hex2f14201eb9

202201112249 has 2 divisors, whose sum is σ = 202201112250. Its totient is φ = 202201112248.

The previous prime is 202201112231. The next prime is 202201112287. The reversal of 202201112249 is 942211102202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183659388025 + 18541724224 = 428555^2 + 136168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202201112249 is a prime.

It is not a weakly prime, because it can be changed into another prime (202201012249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100556124 + 101100556125.

It is an arithmetic number, because the mean of its divisors is an integer number (101100556125).

Almost surely, 2202201112249 is an apocalyptic number.

It is an amenable number.

202201112249 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201112249 is an equidigital number, since it uses as much as digits as its factorization.

202201112249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 202201112249 in words is "two hundred two billion, two hundred one million, one hundred twelve thousand, two hundred forty-nine".