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2112003017 is a prime number
BaseRepresentation
bin111110111100010…
…1001101111001001
312110012002212110222
41331320221233021
513311133044032
6545323315425
7103223505125
oct17570515711
95405085428
102112003017
11994197143
124ab37bb75
13278731337
141606d2585
15c5638a12
hex7de29bc9

2112003017 has 2 divisors, whose sum is σ = 2112003018. Its totient is φ = 2112003016.

The previous prime is 2112002993. The next prime is 2112003043. The reversal of 2112003017 is 7103002112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2105341456 + 6661561 = 45884^2 + 2581^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112003017 - 210 = 2112001993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112002986 and 2112003004.

It is not a weakly prime, because it can be changed into another prime (2112003067) 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 as a sum of consecutive naturals, namely, 1056001508 + 1056001509.

It is an arithmetic number, because the mean of its divisors is an integer number (1056001509).

Almost surely, 22112003017 is an apocalyptic number.

It is an amenable number.

2112003017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112003017 is an equidigital number, since it uses as much as digits as its factorization.

2112003017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 2112003017 is about 45956.5339968105. The cubic root of 2112003017 is about 1283.0143429280.

Adding to 2112003017 its reverse (7103002112), we get a palindrome (9215005129).

The spelling of 2112003017 in words is "two billion, one hundred twelve million, three thousand, seventeen".