Search a number
-
+
201201967883201 is a prime number
BaseRepresentation
bin101101101111110111111011…
…110100101110001111000001
3222101101201110002020222210212
4231233313323310232033001
5202332443112234230301
61551530524044403505
760244235220616415
oct5557677364561701
9871351402228725
10201201967883201
115912230360019a
121a696357b46595
1388363584875cc
143798327646d45
15183dad18e64bb
hexb6fdfbd2e3c1

201201967883201 has 2 divisors, whose sum is σ = 201201967883202. Its totient is φ = 201201967883200.

The previous prime is 201201967883159. The next prime is 201201967883237. The reversal of 201201967883201 is 102388769102102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137608759416976 + 63593208466225 = 11730676^2 + 7974535^2 .

It is a cyclic number.

It is not a de Polignac number, because 201201967883201 - 234 = 201184788014017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201201967883201.

It is not a weakly prime, because it can be changed into another prime (201201967883401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100600983941600 + 100600983941601.

It is an arithmetic number, because the mean of its divisors is an integer number (100600983941601).

Almost surely, 2201201967883201 is an apocalyptic number.

It is an amenable number.

201201967883201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201201967883201 is an equidigital number, since it uses as much as digits as its factorization.

201201967883201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 50.

The spelling of 201201967883201 in words is "two hundred one trillion, two hundred one billion, nine hundred sixty-seven million, eight hundred eighty-three thousand, two hundred one".