Search a number
-
+
202027572138941 is a prime number
BaseRepresentation
bin101101111011111000110101…
…101011000001001110111101
3222111022122110212022200122122
4231323320311223001032331
5202440004431431421231
61553402104013052325
760361003400165363
oct5573706553011675
9874278425280578
10202027572138941
115941045969621a
121a7aa3691870a5
13889616cbc6163
1437c62882c9633
15185530296977b
hexb7be35ac13bd

202027572138941 has 2 divisors, whose sum is σ = 202027572138942. Its totient is φ = 202027572138940.

The previous prime is 202027572138901. The next prime is 202027572138943. The reversal of 202027572138941 is 149831275720202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179677805316025 + 22349766822916 = 13404395^2 + 4727554^2 .

It is a cyclic number.

It is not a de Polignac number, because 202027572138941 - 234 = 202010392269757 is a prime.

Together with 202027572138943, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202027572138943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101013786069470 + 101013786069471.

It is an arithmetic number, because the mean of its divisors is an integer number (101013786069471).

Almost surely, 2202027572138941 is an apocalyptic number.

It is an amenable number.

202027572138941 is a deficient number, since it is larger than the sum of its proper divisors (1).

202027572138941 is an equidigital number, since it uses as much as digits as its factorization.

202027572138941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 202027572138941 in words is "two hundred two trillion, twenty-seven billion, five hundred seventy-two million, one hundred thirty-eight thousand, nine hundred forty-one".