Search a number
-
+
1000100999999 = 67101937715761
BaseRepresentation
bin11101000110110101010…
…10100011001100111111
310112121102202110202102202
432203122222203030333
5112341201323444444
62043235015142115
7132153302144453
oct16433252431477
93477382422382
101000100999999
1135615aa3a772
121419ab97493b
137340319c55a
1436595a18663
151b03556734e
hexe8daaa333f

1000100999999 has 16 divisors (see below), whose sum is σ = 1025252025696. Its totient is φ = 975254016000.

The previous prime is 1000100999923. The next prime is 1000101000001. The reversal of 1000100999999 is 9999990010001.

It is a cyclic number.

It is not a de Polignac number, because 1000100999999 - 236 = 931381523263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100999099) 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 15 ways as a sum of consecutive naturals, for example, 63446279 + ... + 63462039.

It is an arithmetic number, because the mean of its divisors is an integer number (64078251606).

Almost surely, 21000100999999 is an apocalyptic number.

1000100999999 is a deficient number, since it is larger than the sum of its proper divisors (25151025697).

1000100999999 is a wasteful number, since it uses less digits than its factorization.

1000100999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25306.

The product of its (nonzero) digits is 531441, while the sum is 56.

The spelling of 1000100999999 in words is "one trillion, one hundred million, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 67 101 6767 9377 15761 628259 947077 1055987 1591861 63454159 106654687 147790897 9901990099 14926880597 1000100999999