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202022202149 is a prime number
BaseRepresentation
bin1011110000100101110…
…1100010101100100101
3201022110021102012100022
42330021131202230211
511302220140432044
6232450244524525
720411204246045
oct2741135425445
9638407365308
10202022202149
117874a2a2649
12331a09b0745
131608726b0b1
149ac68b9725
1553c5c703ee
hex2f09762b25

202022202149 has 2 divisors, whose sum is σ = 202022202150. Its totient is φ = 202022202148.

The previous prime is 202022202097. The next prime is 202022202209. The reversal of 202022202149 is 941202220202.

202022202149 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., 101501499649 + 100520702500 = 318593^2 + 317050^2 .

It is a cyclic number.

It is not a de Polignac number, because 202022202149 - 28 = 202022201893 is a prime.

It is a super-3 number, since 3×2020222021493 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202022202449) 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, 101011101074 + 101011101075.

It is an arithmetic number, because the mean of its divisors is an integer number (101011101075).

Almost surely, 2202022202149 is an apocalyptic number.

It is an amenable number.

202022202149 is a deficient number, since it is larger than the sum of its proper divisors (1).

202022202149 is an equidigital number, since it uses as much as digits as its factorization.

202022202149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 202022202149 in words is "two hundred two billion, twenty-two million, two hundred two thousand, one hundred forty-nine".