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2148879001 is a prime number
BaseRepresentation
bin1000000000010101…
…0100101010011001
312112202111100211011
42000011110222121
513400103112001
6553121533521
7104152112233
oct20005245231
95482440734
102148879001
11a02a93665
124bb7a42a1
13283272c49
14165571253
15c89bed51
hex80154a99

2148879001 has 2 divisors, whose sum is σ = 2148879002. Its totient is φ = 2148879000.

The previous prime is 2148878957. The next prime is 2148879059. The reversal of 2148879001 is 1009788412.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2123366400 + 25512601 = 46080^2 + 5051^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148879001 - 223 = 2140490393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2148871001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074439500 + 1074439501.

It is an arithmetic number, because the mean of its divisors is an integer number (1074439501).

Almost surely, 22148879001 is an apocalyptic number.

It is an amenable number.

2148879001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148879001 is an equidigital number, since it uses as much as digits as its factorization.

2148879001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 2148879001 is about 46356.0028583138. The cubic root of 2148879001 is about 1290.4385266696.

It can be divided in two parts, 21488 and 79001, that added together give a square (100489 = 3172).

The spelling of 2148879001 in words is "two billion, one hundred forty-eight million, eight hundred seventy-nine thousand, one".