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2002011101 is a prime number
BaseRepresentation
bin111011101010100…
…0100001111011101
312011112010200221022
41313111010033131
513100003323401
6530354013525
7100416546026
oct16725041735
95145120838
102002011101
119380a0632
1247a5772a5
1325b9cc86c
1414dc5dc4d
15bab5d71b
hex775443dd

2002011101 has 2 divisors, whose sum is σ = 2002011102. Its totient is φ = 2002011100.

The previous prime is 2002011097. The next prime is 2002011131. The reversal of 2002011101 is 1011102002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1729728100 + 272283001 = 41590^2 + 16501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002011101 - 22 = 2002011097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002011131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001005550 + 1001005551.

It is an arithmetic number, because the mean of its divisors is an integer number (1001005551).

Almost surely, 22002011101 is an apocalyptic number.

It is an amenable number.

2002011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002011101 is an equidigital number, since it uses as much as digits as its factorization.

2002011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2002011101 is about 44743.8386931653. The cubic root of 2002011101 is about 1260.3432131715.

Adding to 2002011101 its reverse (1011102002), we get a palindrome (3013113103).

Subtracting from 2002011101 its reverse (1011102002), we obtain a palindrome (990909099).

The spelling of 2002011101 in words is "two billion, two million, eleven thousand, one hundred one".