Search a number
-
+
1001000110011 = 31197884935339
BaseRepresentation
bin11101001000100000100…
…00011000011110111011
310112200202102022021111120
432210100100120132323
5112400022012010021
62043504134200323
7132214500355446
oct16442020303673
93480672267446
101001000110011
113565815143a0
12142000ab30a3
1373517543b05
143663d1c265d
151b08946a2c6
hexe9104187bb

1001000110011 has 32 divisors (see below), whose sum is σ = 1471218336000. Its totient is φ = 600327598080.

The previous prime is 1001000110001. The next prime is 1001000110043. The reversal of 1001000110011 is 1100110001001.

It is not a de Polignac number, because 1001000110011 - 25 = 1001000109979 is a prime.

1001000110011 is a modest number, since divided by 110011 gives 10010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1001000110001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28307980 + ... + 28343318.

It is an arithmetic number, because the mean of its divisors is an integer number (45975573000).

Almost surely, 21001000110011 is an apocalyptic number.

1001000110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001000110011 is a deficient number, since it is larger than the sum of its proper divisors (470218225989).

1001000110011 is a wasteful number, since it uses less digits than its factorization.

1001000110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44299.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001000110011 its reverse (1100110001001), we get a palindrome (2101110111012).

The spelling of 1001000110011 in words is "one trillion, one billion, one hundred ten thousand, eleven".

Divisors: 1 3 11 33 97 291 1067 3201 8849 26547 35339 97339 106017 292017 388729 858353 1166187 2575059 3427883 9441883 10283649 28325649 37706713 113120139 312714811 938144433 3439862921 10319588763 30333336667 91000010001 333666703337 1001000110011