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202243400417 is a prime number
BaseRepresentation
bin1011110001011010100…
…1010110001011100001
3201100000200122020022202
42330112221112023201
511303143302303132
6232524225542545
720416531353002
oct2742651261341
9640020566282
10202243400417
1178853144133
1233242aa4a55
13160c1038046
149b080191a9
1553da3b5762
hex2f16a562e1

202243400417 has 2 divisors, whose sum is σ = 202243400418. Its totient is φ = 202243400416.

The previous prime is 202243400407. The next prime is 202243400423. The reversal of 202243400417 is 714004342202.

202243400417 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., 115806812416 + 86436588001 = 340304^2 + 294001^2 .

It is a cyclic number.

It is not a de Polignac number, because 202243400417 - 226 = 202176291553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202243400417.

It is not a weakly prime, because it can be changed into another prime (202243400407) 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, 101121700208 + 101121700209.

It is an arithmetic number, because the mean of its divisors is an integer number (101121700209).

Almost surely, 2202243400417 is an apocalyptic number.

It is an amenable number.

202243400417 is a deficient number, since it is larger than the sum of its proper divisors (1).

202243400417 is an equidigital number, since it uses as much as digits as its factorization.

202243400417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 29.

Adding to 202243400417 its reverse (714004342202), we get a palindrome (916247742619).

The spelling of 202243400417 in words is "two hundred two billion, two hundred forty-three million, four hundred thousand, four hundred seventeen".