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85124000441 is a prime number
BaseRepresentation
bin100111101000111001…
…0010010101010111001
322010201102211021012002
41033101302102222321
52343313221003231
6103034434430345
76102311031254
oct1172162225271
9263642737162
1085124000441
1133112308497
12145b7a323b5
13804788b43c
1441974b809b
15233326b0cb
hex13d1c92ab9

85124000441 has 2 divisors, whose sum is σ = 85124000442. Its totient is φ = 85124000440.

The previous prime is 85124000417. The next prime is 85124000483. The reversal of 85124000441 is 14400042158.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48558529600 + 36565470841 = 220360^2 + 191221^2 .

It is a cyclic number.

It is not a de Polignac number, because 85124000441 - 234 = 67944131257 is a prime.

It is not a weakly prime, because it can be changed into another prime (85124000491) 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, 42562000220 + 42562000221.

It is an arithmetic number, because the mean of its divisors is an integer number (42562000221).

Almost surely, 285124000441 is an apocalyptic number.

It is an amenable number.

85124000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

85124000441 is an equidigital number, since it uses as much as digits as its factorization.

85124000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 85124000441 its reverse (14400042158), we get a palindrome (99524042599).

The spelling of 85124000441 in words is "eighty-five billion, one hundred twenty-four million, four hundred forty-one", and thus it is an aban number.