Search a number
-
+
202742781317 is a prime number
BaseRepresentation
bin1011110011010001101…
…0010101010110000101
3201101022111022102010122
42330310122111112011
511310204123000232
6233045545231325
720435104130666
oct2746432252605
9641274272118
10202742781317
1178a8a01841a
1233362192545
13161706343bb
149b5448d36d
15541915a312
hex2f34695585

202742781317 has 2 divisors, whose sum is σ = 202742781318. Its totient is φ = 202742781316.

The previous prime is 202742781313. The next prime is 202742781361. The reversal of 202742781317 is 713187247202.

202742781317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (202742781361) can be obtained adding 202742781317 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190607335396 + 12135445921 = 436586^2 + 110161^2 .

It is a cyclic number.

It is not a de Polignac number, because 202742781317 - 22 = 202742781313 is a prime.

It is a super-2 number, since 2×2027427813172 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202742781313) 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, 101371390658 + 101371390659.

It is an arithmetic number, because the mean of its divisors is an integer number (101371390659).

Almost surely, 2202742781317 is an apocalyptic number.

It is an amenable number.

202742781317 is a deficient number, since it is larger than the sum of its proper divisors (1).

202742781317 is an equidigital number, since it uses as much as digits as its factorization.

202742781317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 202742781317 in words is "two hundred two billion, seven hundred forty-two million, seven hundred eighty-one thousand, three hundred seventeen".