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4002200101 is a prime number
BaseRepresentation
bin1110111010001100…
…1011101000100101
3101022220211211102101
43232203023220211
531144030400401
61501045012101
7201115065604
oct35643135045
911286754371
104002200101
111774157199
129383b4031
134ba211c53
1429d767a3b
1518655c101
hexee8cba25

4002200101 has 2 divisors, whose sum is σ = 4002200102. Its totient is φ = 4002200100.

The previous prime is 4002200089. The next prime is 4002200141. The reversal of 4002200101 is 1010022004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2176689025 + 1825511076 = 46655^2 + 42726^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002200101 - 27 = 4002199973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4002200141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001100050 + 2001100051.

It is an arithmetic number, because the mean of its divisors is an integer number (2001100051).

Almost surely, 24002200101 is an apocalyptic number.

It is an amenable number.

4002200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002200101 is an equidigital number, since it uses as much as digits as its factorization.

4002200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4002200101 is about 63262.9441379391. The cubic root of 4002200101 is about 1587.6920355121.

Adding to 4002200101 its reverse (1010022004), we get a palindrome (5012222105).

The spelling of 4002200101 in words is "four billion, two million, two hundred thousand, one hundred one".