Search a number
-
+
145552057213 is a prime number
BaseRepresentation
bin1000011110001110010…
…1000010001101111101
3111220200202212121102211
42013203211002031331
54341042311312323
6150510553420421
713341626034013
oct2074345021575
9456622777384
10145552057213
1156801383982
122426110a711
1310957c01554
14708ab568b3
153bbd37570d
hex21e394237d

145552057213 has 2 divisors, whose sum is σ = 145552057214. Its totient is φ = 145552057212.

The previous prime is 145552057193. The next prime is 145552057249. The reversal of 145552057213 is 312750255541.

145552057213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76086602244 + 69465454969 = 275838^2 + 263563^2 .

It is an emirp because it is prime and its reverse (312750255541) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 145552057213 - 229 = 145015186301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145552051213) 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, 72776028606 + 72776028607.

It is an arithmetic number, because the mean of its divisors is an integer number (72776028607).

Almost surely, 2145552057213 is an apocalyptic number.

It is an amenable number.

145552057213 is a deficient number, since it is larger than the sum of its proper divisors (1).

145552057213 is an equidigital number, since it uses as much as digits as its factorization.

145552057213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210000, while the sum is 40.

The spelling of 145552057213 in words is "one hundred forty-five billion, five hundred fifty-two million, fifty-seven thousand, two hundred thirteen".