Search a number
-
+
1010011011009 = 371113437821721
BaseRepresentation
bin11101011001010010101…
…10001111011111000001
310120120000101220110212120
432230221112033133001
5113022000304323014
62051554225114453
7132654004641030
oct16545126173701
93516011813776
101010011011009
1135a385980710
121438b6788a29
137432233cab0
1436c55c34717
151b41559bba9
hexeb2958f7c1

1010011011009 has 64 divisors (see below), whose sum is σ = 1850181408768. Its totient is φ = 473057625600.

The previous prime is 1010011010971. The next prime is 1010011011011. The reversal of 1010011011009 is 9001101100101.

It is not a de Polignac number, because 1010011011009 - 28 = 1010011010753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010011011019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3781732 + ... + 4039989.

It is an arithmetic number, because the mean of its divisors is an integer number (28909084512).

Almost surely, 21010011011009 is an apocalyptic number.

It is an amenable number.

1010011011009 is a deficient number, since it is larger than the sum of its proper divisors (840170397759).

1010011011009 is a wasteful number, since it uses less digits than its factorization.

1010011011009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7821798.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 1010011011009 in words is "one trillion, ten billion, eleven million, eleven thousand, nine".

Divisors: 1 3 7 11 13 21 33 39 43 77 91 129 143 231 273 301 429 473 559 903 1001 1419 1677 3003 3311 3913 6149 9933 11739 18447 43043 129129 7821721 23465163 54752047 86038931 101682373 164256141 258116793 305047119 336334003 602272517 711776611 1009002009 1118506103 1806817551 2135329833 2354338021 3355518309 3699674033 4372342039 7063014063 7829542721 11099022099 13117026117 23488628163 25897718231 30606394273 48095762429 77693154693 91819182819 144287287287 336670337003 1010011011009