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1002200113 is a prime number
BaseRepresentation
bin111011101111000…
…101110000110001
32120211211001002201
4323233011300301
54023030400423
6243240343201
733556363135
oct7357056061
92524731081
101002200113
11474796862
1223b774b01
1312c82a725
14971613c5
155ceb82ad
hex3bbc5c31

1002200113 has 2 divisors, whose sum is σ = 1002200114. Its totient is φ = 1002200112.

The previous prime is 1002200107. The next prime is 1002200117. The reversal of 1002200113 is 3110022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 993951729 + 8248384 = 31527^2 + 2872^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002200113 - 213 = 1002191921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002200113.

It is not a weakly prime, because it can be changed into another prime (1002200117) 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, 501100056 + 501100057.

It is an arithmetic number, because the mean of its divisors is an integer number (501100057).

Almost surely, 21002200113 is an apocalyptic number.

It is an amenable number.

1002200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002200113 is an equidigital number, since it uses as much as digits as its factorization.

1002200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1002200113 is about 31657.5443299066. The cubic root of 1002200113 is about 1000.7328338234.

Adding to 1002200113 its reverse (3110022001), we get a palindrome (4112222114).

The spelling of 1002200113 in words is "one billion, two million, two hundred thousand, one hundred thirteen".