Search a number
-
+
1010101011009 = 310128311779741
BaseRepresentation
bin11101011001011101011…
…01100100001001000001
310120120020200020221122220
432230232231210021001
5113022141324323014
62052011202121253
7132656146633506
oct16545655441101
93516220227586
101010101011009
1135a421761a82
12143920950229
1374337b91a2c
1436c63b814ad
151b41d4286a9
hexeb2eb64241

1010101011009 has 16 divisors (see below), whose sum is σ = 1364942265024. Its totient is φ = 664377336000.

The previous prime is 1010101011001. The next prime is 1010101011043. The reversal of 1010101011009 is 9001101010101.

It is not a de Polignac number, because 1010101011009 - 23 = 1010101011001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010101011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5804122 + ... + 5975619.

It is an arithmetic number, because the mean of its divisors is an integer number (85308891564).

Almost surely, 21010101011009 is an apocalyptic number.

It is an amenable number.

1010101011009 is a deficient number, since it is larger than the sum of its proper divisors (354841254015).

1010101011009 is a wasteful number, since it uses less digits than its factorization.

1010101011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11780128.

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

The spelling of 1010101011009 in words is "one trillion, ten billion, one hundred one million, eleven thousand, nine".

Divisors: 1 3 101 283 303 849 28583 85749 11779741 35339223 1189753841 3333666703 3569261523 10001000109 336700337003 1010101011009