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4820000101 = 72372658577
BaseRepresentation
bin1000111110100101…
…10101110101100101
3110102220200101010021
410133102311311211
534332410000401
62114141155141
7230305216300
oct43722656545
913386611107
104820000101
112053845464
12b2625bab1
135ba787a87
1433a207b37
151d324d2a1
hex11f4b5d65

4820000101 has 12 divisors (see below), whose sum is σ = 5758479948. Its totient is φ = 4019766912.

The previous prime is 4820000099. The next prime is 4820000111. The reversal of 4820000101 is 1010000284.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4320432900 + 499567201 = 65730^2 + 22351^2 .

It is not a de Polignac number, because 4820000101 - 21 = 4820000099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820000111) 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 in 11 ways as a sum of consecutive naturals, for example, 1327476 + ... + 1331101.

It is an arithmetic number, because the mean of its divisors is an integer number (479873329).

Almost surely, 24820000101 is an apocalyptic number.

It is an amenable number.

4820000101 is a deficient number, since it is larger than the sum of its proper divisors (938479847).

4820000101 is a wasteful number, since it uses less digits than its factorization.

4820000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658628 (or 2658621 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4820000101 is about 69426.2205582300. The cubic root of 4820000101 is about 1689.2049644444.

Adding to 4820000101 its reverse (1010000284), we get a palindrome (5830000385).

The spelling of 4820000101 in words is "four billion, eight hundred twenty million, one hundred one", and thus it is an aban number.

Divisors: 1 7 37 49 259 1813 2658577 18610039 98367349 130270273 688571443 4820000101