Search a number
-
+
211202414417 is a prime number
BaseRepresentation
bin1100010010110010100…
…1010001011101010001
3202012011001121022010002
43010230221101131101
511430020304230132
6241005224415345
721154535621231
oct3045451213521
9665131538102
10211202414417
1181630290a35
1234b23317555
1316bbb167a67
14a317c01cc1
155761b98262
hex312ca51751

211202414417 has 2 divisors, whose sum is σ = 211202414418. Its totient is φ = 211202414416.

The previous prime is 211202414411. The next prime is 211202414461. The reversal of 211202414417 is 714414202112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145584981136 + 65617433281 = 381556^2 + 256159^2 .

It is a cyclic number.

It is not a de Polignac number, because 211202414417 - 28 = 211202414161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211202414417.

It is not a weakly prime, because it can be changed into another prime (211202414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105601207208 + 105601207209.

It is an arithmetic number, because the mean of its divisors is an integer number (105601207209).

Almost surely, 2211202414417 is an apocalyptic number.

It is an amenable number.

211202414417 is a deficient number, since it is larger than the sum of its proper divisors (1).

211202414417 is an equidigital number, since it uses as much as digits as its factorization.

211202414417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 29.

Adding to 211202414417 its reverse (714414202112), we get a palindrome (925616616529).

The spelling of 211202414417 in words is "two hundred eleven billion, two hundred two million, four hundred fourteen thousand, four hundred seventeen".