Search a number
-
+
2001210010011 = 321759481346061
BaseRepresentation
bin11101000111110001011…
…010010110100110011011
321002022110202200201122200
4131013301122112212123
5230241434230310021
64131202043421243
7264403564264032
oct35076132264633
97068422621580
102001210010011
11701787974263
12283a21224823
13116937151b24
146cc05467719
15370c9344126
hex1d1f169699b

2001210010011 has 48 divisors (see below), whose sum is σ = 3113264250720. Its totient is φ = 1234095528960.

The previous prime is 2001210009983. The next prime is 2001210010013. The reversal of 2001210010011 is 1100100121002.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2001210010011 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001210009975 and 2001210010002.

It is not an unprimeable number, because it can be changed into a prime (2001210010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43423921 + ... + 43469981.

It is an arithmetic number, because the mean of its divisors is an integer number (64859671890).

Almost surely, 22001210010011 is an apocalyptic number.

2001210010011 is a deficient number, since it is larger than the sum of its proper divisors (1112054240709).

2001210010011 is a wasteful number, since it uses less digits than its factorization.

2001210010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50956 (or 50953 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001210010011 its reverse (1100100121002), we get a palindrome (3101310131013).

The spelling of 2001210010011 in words is "two trillion, one billion, two hundred ten million, ten thousand, eleven".

Divisors: 1 3 9 17 51 59 153 177 531 1003 3009 4813 9027 14439 43317 46061 81821 138183 245463 283967 414549 736389 783037 851901 2349111 2555703 2717599 4827439 7047333 8152797 14482317 24458391 43446951 46199183 138597549 221691593 415792647 665074779 1995224337 3768757081 11306271243 13079803987 33918813729 39239411961 117718235883 222356667779 667070003337 2001210010011