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2001122001 = 321491492261
BaseRepresentation
bin111011101000110…
…1011001011010001
312011110110112022200
41313101223023101
513044241401001
6530322553413
7100406153634
oct16721531321
95143415280
102001122001
1193764363a
1247a208869
1325b77ac78
1414daabc1b
15baa35086
hex7746b2d1

2001122001 has 12 divisors (see below), whose sum is σ = 2909910900. Its totient is φ = 1325126880.

The previous prime is 2001121999. The next prime is 2001122069. The reversal of 2001122001 is 1002211002.

It can be written as a sum of positive squares in 2 ways, for example, as 541958400 + 1459163601 = 23280^2 + 38199^2 .

It is not a de Polignac number, because 2001122001 - 21 = 2001121999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2001122401) 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 11 ways as a sum of consecutive naturals, for example, 744790 + ... + 747471.

It is an arithmetic number, because the mean of its divisors is an integer number (242492575).

Almost surely, 22001122001 is an apocalyptic number.

It is an amenable number.

2001122001 is a deficient number, since it is larger than the sum of its proper divisors (908788899).

2001122001 is a wasteful number, since it uses less digits than its factorization.

2001122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492416 (or 1492413 counting only the distinct ones).

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

The square root of 2001122001 is about 44733.9021436762. The cubic root of 2001122001 is about 1260.1566112967.

Adding to 2001122001 its reverse (1002211002), we get a palindrome (3003333003).

The spelling of 2001122001 in words is "two billion, one million, one hundred twenty-two thousand, one".

Divisors: 1 3 9 149 447 1341 1492261 4476783 13430349 222346889 667040667 2001122001