Search a number
-
+
2120012001 = 33194132577
BaseRepresentation
bin111111001011100…
…1101000011100001
312110202011202202000
41332113031003201
513320210341001
6550211114213
7103351543002
oct17627150341
95422152660
102120012001
11998767438
124b1ba2969
1327a2a6893
141617b91a9
15c61bba86
hex7e5cd0e1

2120012001 has 16 divisors (see below), whose sum is σ = 3306062400. Its totient is φ = 1338954624.

The previous prime is 2120011997. The next prime is 2120012009. The reversal of 2120012001 is 1002100212.

It is not a de Polignac number, because 2120012001 - 22 = 2120011997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2120012009) 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 in 15 ways as a sum of consecutive naturals, for example, 2065776 + ... + 2066801.

It is an arithmetic number, because the mean of its divisors is an integer number (206628900).

Almost surely, 22120012001 is an apocalyptic number.

It is an amenable number.

2120012001 is a deficient number, since it is larger than the sum of its proper divisors (1186050399).

2120012001 is a wasteful number, since it uses less digits than its factorization.

2120012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132605 (or 4132599 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2120012001 is about 46043.5880552331. The cubic root of 2120012001 is about 1284.6340817432.

Adding to 2120012001 its reverse (1002100212), we get a palindrome (3122112213).

The spelling of 2120012001 in words is "two billion, one hundred twenty million, twelve thousand, one".

Divisors: 1 3 9 19 27 57 171 513 4132577 12397731 37193193 78518963 111579579 235556889 706670667 2120012001