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202241415349 is a prime number
BaseRepresentation
bin1011110001011010000…
…1110001100010110101
3201100000112220101022201
42330112201301202311
511303142300242344
6232524115224501
720416505444431
oct2742641614265
9640015811281
10202241415349
1178852008786
12332422a8131
13160c07c164c
149b07a5d9c1
1553da1224d4
hex2f168718b5

202241415349 has 2 divisors, whose sum is σ = 202241415350. Its totient is φ = 202241415348.

The previous prime is 202241415307. The next prime is 202241415353. The reversal of 202241415349 is 943514142202.

202241415349 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., 187064900100 + 15176515249 = 432510^2 + 123193^2 .

It is a cyclic number.

It is not a de Polignac number, because 202241415349 - 223 = 202233026741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202241415359) 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, 101120707674 + 101120707675.

It is an arithmetic number, because the mean of its divisors is an integer number (101120707675).

Almost surely, 2202241415349 is an apocalyptic number.

It is an amenable number.

202241415349 is a deficient number, since it is larger than the sum of its proper divisors (1).

202241415349 is an equidigital number, since it uses as much as digits as its factorization.

202241415349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 202241415349 in words is "two hundred two billion, two hundred forty-one million, four hundred fifteen thousand, three hundred forty-nine".