Search a number
-
+
2002221001011 = 3711127149458047
BaseRepresentation
bin11101001000101101101…
…010111110100100110011
321002102002020001101120210
4131020231222332210303
5230301022034013021
64131450240435203
7264440621462460
oct35105552764463
97072066041523
102002221001011
11702156614810
12284063918b03
13116a6873995a
146cc9d836667
1537137e96e76
hex1d22dabe933

2002221001011 has 64 divisors (see below), whose sum is σ = 3377096294400. Its totient is φ = 1024997016960.

The previous prime is 2002221001003. The next prime is 2002221001013. The reversal of 2002221001011 is 1101001222002.

It is not a de Polignac number, because 2002221001011 - 23 = 2002221001003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002221001013) 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 63 ways as a sum of consecutive naturals, for example, 4142190 + ... + 4600236.

It is an arithmetic number, because the mean of its divisors is an integer number (52767129600).

Almost surely, 22002221001011 is an apocalyptic number.

2002221001011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002221001011 is a deficient number, since it is larger than the sum of its proper divisors (1374875293389).

2002221001011 is a wasteful number, since it uses less digits than its factorization.

2002221001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458344.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2002221001011 its reverse (1101001222002), we get a palindrome (3103222223013).

The spelling of 2002221001011 in words is "two trillion, two billion, two hundred twenty-one million, one thousand, eleven".

Divisors: 1 3 7 11 21 33 77 127 149 231 381 447 889 1043 1397 1639 2667 3129 4191 4917 9779 11473 18923 29337 34419 56769 132461 208153 397383 458047 624459 1374141 1457071 3206329 4371213 5038517 9618987 15115551 35269619 58171969 68249003 105808857 174515907 204747009 407203783 477743021 639891659 750739033 1221611349 1433229063 1919674977 2252217099 4479241613 5255173231 8667623381 13437724839 15765519693 26002870143 60673363667 95343857191 182020091001 286031571573 667407000337 2002221001011