Search a number
-
+
42121899082493 is a prime number
BaseRepresentation
bin10011001001111010001001…
…10101010000001011111101
312112010210222120101212012122
421210331010311100023331
521010111122131114433
6225330311105412325
711605130632462616
oct1144750465201375
9175123876355178
1042121899082493
111246a884a0983a
12488360a93a0a5
131a671025b8239
14a589d45bac0d
154d0a4977b198
hex264f44d502fd

42121899082493 has 2 divisors, whose sum is σ = 42121899082494. Its totient is φ = 42121899082492.

The previous prime is 42121899082441. The next prime is 42121899082507. The reversal of 42121899082493 is 39428099812124.

42121899082493 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., 35342525621764 + 6779373460729 = 5944958^2 + 2603723^2 .

It is a cyclic number.

It is not a de Polignac number, because 42121899082493 - 222 = 42121894888189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42121899012493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21060949541246 + 21060949541247.

It is an arithmetic number, because the mean of its divisors is an integer number (21060949541247).

Almost surely, 242121899082493 is an apocalyptic number.

It is an amenable number.

42121899082493 is a deficient number, since it is larger than the sum of its proper divisors (1).

42121899082493 is an equidigital number, since it uses as much as digits as its factorization.

42121899082493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17915904, while the sum is 62.

The spelling of 42121899082493 in words is "forty-two trillion, one hundred twenty-one billion, eight hundred ninety-nine million, eighty-two thousand, four hundred ninety-three".