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2002112081 is a prime number
BaseRepresentation
bin111011101010101…
…1100111001010001
312011112022211110022
41313111130321101
513100020041311
6530400113225
7100420446314
oct16725347121
95145284408
102002112081
1193815a492
1247a605815
1325ba36808
1414dc8897b
15bab7d5db
hex7755ce51

2002112081 has 2 divisors, whose sum is σ = 2002112082. Its totient is φ = 2002112080.

The previous prime is 2002112053. The next prime is 2002112129. The reversal of 2002112081 is 1802112002.

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., 1996659856 + 5452225 = 44684^2 + 2335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002112081 - 26 = 2002112017 is a prime.

It is a super-2 number, since 2×20021120812 = 8016905569772301122, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2002112051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001056040 + 1001056041.

It is an arithmetic number, because the mean of its divisors is an integer number (1001056041).

Almost surely, 22002112081 is an apocalyptic number.

It is an amenable number.

2002112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002112081 is an equidigital number, since it uses as much as digits as its factorization.

2002112081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 2002112081 is about 44744.9671024575. The cubic root of 2002112081 is about 1260.3644030837.

Adding to 2002112081 its reverse (1802112002), we get a palindrome (3804224083).

The spelling of 2002112081 in words is "two billion, two million, one hundred twelve thousand, eighty-one".