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200210222202149 is a prime number
BaseRepresentation
bin101101100001011100010011…
…001011001011110100100101
3222020212220120121210102020102
4231201130103023023310211
5202220221013340432044
61545451150100513445
760112465642461245
oct5541342313136445
9866786517712212
10200210222202149
115887a750a662a5
121a5560ba3ab885
138793987327383
143762325589b25
151822dd9b6424e
hexb617132cbd25

200210222202149 has 2 divisors, whose sum is σ = 200210222202150. Its totient is φ = 200210222202148.

The previous prime is 200210222202113. The next prime is 200210222202227. The reversal of 200210222202149 is 941202222012002.

200210222202149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141507916404100 + 58702305798049 = 11895710^2 + 7661743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200210222202149 is a prime.

It is a super-3 number, since 3×2002102222021493 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200210222202349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105111101074 + 100105111101075.

It is an arithmetic number, because the mean of its divisors is an integer number (100105111101075).

Almost surely, 2200210222202149 is an apocalyptic number.

It is an amenable number.

200210222202149 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210222202149 is an equidigital number, since it uses as much as digits as its factorization.

200210222202149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 200210222202149 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, two hundred two thousand, one hundred forty-nine".